2.2 Similar Right Triangles

A right triangle has a hypotenuse of 25 and an angle of 50 degrees, with the side opposite this angle having a length of 19.15. A second right triangle also has an angle of 50 degrees, but its hypotenuse is 15. Determine the length of the side opposite the 50-degree angle in the second triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Right triangle △GHI has side lengths GH=12, HI=16, and GI=20. A second triangle △G′H′I′ has side lengths 5, 3, and 4. Find the ratio of the side opposite angle G to the hypotenuse of △GHI. Use this ratio to identify the location of point G' in the second right triangle.

• The ratio of the opposite side to the hypotenuse is 0.8, and the point G′ is opposite the side that has length 3.

• The ratio of the opposite side to the hypotenuse is 0.6, and the point G′ is opposite the side that has length 4.

• The ratio of the opposite side to the hypotenuse is 0.8, and the point G′ is opposite the side that has length 4.

• The ratio of the opposite side to the hypotenuse is 0.6, and the point G′ is opposite the side that has length 3.

 FInd tanX

• 32/40
• 40/24
• 32/24
• 24/32

Tags

CCSS.HSG.SRT.C.6

Find the value of y.

• 11√2
• 11
• 22
• (11√2)/2

Tags

CCSS.8.G.B.8