http://www.ck12.org Chapter 8. Right Triangle Trigonometry
Think of this trapezoid as a rectangle, between a 45-45-90 triangle and a 30-60-90 triangle.
From this picture,x=a+b+c. First, finda, which is a leg of an isosceles right triangle.
a=24
√
2
·
√
2
√
2
=
24
√
2
2
= 12
√
2
a=d, so we can use this to findc, which is the shorter leg of a 30-60-90 triangle.
c=12
√
2
√
3
·
√
3
√
3
=
12
√
6
3
= 4
√
6
b=20, sox= 12
√
2 + 20 + 4
√
- Nothing simplifies, so this is how we leave our answer.
Watch this video for help with the Examples above.
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/52520CK-12 Foundation: Chapter8306090RightTrianglesB
Vocabulary
Aright triangleis a triangle with a 90◦angle. A30-60-90 triangleis a right triangle with angle measures of 30◦, 60 ◦,
and 90◦.