value of X and Y from triangle
my son is in 6th grade and i am trying to help him solve this problem. but i want to understand so i can teach him.
Write and solve equations to determine the value of x and y .
triangle is given (PMN).
$M$ is $13x$, $N$ is 65 deg, $p$ is not given. length pm is 7/8in, MN not
given, $PN$ is $Y+2/3$ in.
I watched some youtube videos but can't find one that is suitable for 6th grader. Please see attached.
triangle
edited Mar 7 '16 at 7:22
mvw
31.3k22252
asked Mar 7 '16 at 5:34
Mary jordon
62
add a comment |
my son is in 6th grade and i am trying to help him solve this problem. but i want to understand so i can teach him.
Write and solve equations to determine the value of x and y .
triangle is given (PMN).
$M$ is $13x$, $N$ is 65 deg, $p$ is not given. length pm is 7/8in, MN not
given, $PN$ is $Y+2/3$ in.
I watched some youtube videos but can't find one that is suitable for 6th grader. Please see attached.
triangle
edited Mar 7 '16 at 7:22
mvw
31.3k22252
asked Mar 7 '16 at 5:34
Mary jordon
62
add a comment |
my son is in 6th grade and i am trying to help him solve this problem. but i want to understand so i can teach him.
Write and solve equations to determine the value of x and y .
triangle is given (PMN).
$M$ is $13x$, $N$ is 65 deg, $p$ is not given. length pm is 7/8in, MN not
given, $PN$ is $Y+2/3$ in.
I watched some youtube videos but can't find one that is suitable for 6th grader. Please see attached.
triangle
edited Mar 7 '16 at 7:22
mvw
31.3k22252
asked Mar 7 '16 at 5:34
Mary jordon
62
my son is in 6th grade and i am trying to help him solve this problem. but i want to understand so i can teach him.
Write and solve equations to determine the value of x and y .
triangle is given (PMN).
$M$ is $13x$, $N$ is 65 deg, $p$ is not given. length pm is 7/8in, MN not
given, $PN$ is $Y+2/3$ in.
I watched some youtube videos but can't find one that is suitable for 6th grader. Please see attached.
triangle
triangle
edited Mar 7 '16 at 7:22
mvw
31.3k22252
asked Mar 7 '16 at 5:34
Mary jordon
62
edited Mar 7 '16 at 7:22
mvw
31.3k22252
asked Mar 7 '16 at 5:34
Mary jordon
62
edited Mar 7 '16 at 7:22
mvw
31.3k22252
edited Mar 7 '16 at 7:22
mvw
31.3k22252
edited Mar 7 '16 at 7:22
mvw
31.3k22252
31.3k22252
asked Mar 7 '16 at 5:34
Mary jordon
62
asked Mar 7 '16 at 5:34
Mary jordon
62
asked Mar 7 '16 at 5:34
Mary jordon
62
62
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
You know the triangle is isoceles (that's what those little dashes across the sides mean) with $PM = PN$.
Two properties of an isoceles triangle are important here.
1) two sides are equal in length - can you set up an equation involving $y$ that can be easily solved?
2) the two base angles are equal - can you set up an equation involving $x$ that can be easily solved?
answered Mar 7 '16 at 5:42
Deepak
16.6k11436
add a comment |
One relation you can use is that the angles sum to $180^circ$.
$$
180 = alpha + 65 + (13 x)
$$
I would split the angle $alpha$, and the side $MN$, such that we get two rectangular triangles.
Interesting Deepaks remark about the dashes indicating a triangle with two equal sides seems to be true in the English speaking world, I see it used in the English language Wikipedia article (but not in the German one). The word isocles shows up in another problem on that image as well so it looks likely.
That simplifies the problem a lot. We have
$$
7/8 = y + 2/3
$$
and split $alpha$ in the middle.
So the relation for the other two angles gets very easy.
answered Mar 7 '16 at 7:29
mvw
31.3k22252
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
You know the triangle is isoceles (that's what those little dashes across the sides mean) with $PM = PN$.
Two properties of an isoceles triangle are important here.
1) two sides are equal in length - can you set up an equation involving $y$ that can be easily solved?
2) the two base angles are equal - can you set up an equation involving $x$ that can be easily solved?
answered Mar 7 '16 at 5:42
Deepak
16.6k11436
add a comment |
You know the triangle is isoceles (that's what those little dashes across the sides mean) with $PM = PN$.
Two properties of an isoceles triangle are important here.
1) two sides are equal in length - can you set up an equation involving $y$ that can be easily solved?
2) the two base angles are equal - can you set up an equation involving $x$ that can be easily solved?
answered Mar 7 '16 at 5:42
Deepak
16.6k11436
add a comment |
You know the triangle is isoceles (that's what those little dashes across the sides mean) with $PM = PN$.
Two properties of an isoceles triangle are important here.
1) two sides are equal in length - can you set up an equation involving $y$ that can be easily solved?
2) the two base angles are equal - can you set up an equation involving $x$ that can be easily solved?
answered Mar 7 '16 at 5:42
Deepak
16.6k11436
You know the triangle is isoceles (that's what those little dashes across the sides mean) with $PM = PN$.
Two properties of an isoceles triangle are important here.
1) two sides are equal in length - can you set up an equation involving $y$ that can be easily solved?
2) the two base angles are equal - can you set up an equation involving $x$ that can be easily solved?
answered Mar 7 '16 at 5:42
Deepak
16.6k11436
answered Mar 7 '16 at 5:42
Deepak
16.6k11436
answered Mar 7 '16 at 5:42
Deepak
16.6k11436
answered Mar 7 '16 at 5:42
Deepak
16.6k11436
16.6k11436
add a comment |
add a comment |
One relation you can use is that the angles sum to $180^circ$.
$$
180 = alpha + 65 + (13 x)
$$
I would split the angle $alpha$, and the side $MN$, such that we get two rectangular triangles.
Interesting Deepaks remark about the dashes indicating a triangle with two equal sides seems to be true in the English speaking world, I see it used in the English language Wikipedia article (but not in the German one). The word isocles shows up in another problem on that image as well so it looks likely.
That simplifies the problem a lot. We have
$$
7/8 = y + 2/3
$$
and split $alpha$ in the middle.
So the relation for the other two angles gets very easy.
answered Mar 7 '16 at 7:29
mvw
31.3k22252
add a comment |
One relation you can use is that the angles sum to $180^circ$.
$$
180 = alpha + 65 + (13 x)
$$
I would split the angle $alpha$, and the side $MN$, such that we get two rectangular triangles.
Interesting Deepaks remark about the dashes indicating a triangle with two equal sides seems to be true in the English speaking world, I see it used in the English language Wikipedia article (but not in the German one). The word isocles shows up in another problem on that image as well so it looks likely.
That simplifies the problem a lot. We have
$$
7/8 = y + 2/3
$$
and split $alpha$ in the middle.
So the relation for the other two angles gets very easy.
answered Mar 7 '16 at 7:29
mvw
31.3k22252
add a comment |
One relation you can use is that the angles sum to $180^circ$.
$$
180 = alpha + 65 + (13 x)
$$
I would split the angle $alpha$, and the side $MN$, such that we get two rectangular triangles.
Interesting Deepaks remark about the dashes indicating a triangle with two equal sides seems to be true in the English speaking world, I see it used in the English language Wikipedia article (but not in the German one). The word isocles shows up in another problem on that image as well so it looks likely.
That simplifies the problem a lot. We have
$$
7/8 = y + 2/3
$$
and split $alpha$ in the middle.
So the relation for the other two angles gets very easy.
answered Mar 7 '16 at 7:29
mvw
31.3k22252
One relation you can use is that the angles sum to $180^circ$.
$$
180 = alpha + 65 + (13 x)
$$
I would split the angle $alpha$, and the side $MN$, such that we get two rectangular triangles.
Interesting Deepaks remark about the dashes indicating a triangle with two equal sides seems to be true in the English speaking world, I see it used in the English language Wikipedia article (but not in the German one). The word isocles shows up in another problem on that image as well so it looks likely.
That simplifies the problem a lot. We have
$$
7/8 = y + 2/3
$$
and split $alpha$ in the middle.
So the relation for the other two angles gets very easy.
answered Mar 7 '16 at 7:29
mvw
31.3k22252
edited Mar 7 '16 at 7:47
answered Mar 7 '16 at 7:29
mvw
31.3k22252
answered Mar 7 '16 at 7:29
mvw
31.3k22252
answered Mar 7 '16 at 7:29
mvw
31.3k22252
31.3k22252
add a comment |
add a comment |
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