Chapter 9.4: Special Right Triangles

Question 1

Thm. 9.8

Answer 1

in a 45 degree - 45 degree - 90 degree triangle, the hypotenuse is root 2 times as long as each leg. That is, the side-length ratios of leg:leg:hypotenuse are 1:1:root 2.

Question 2

Thm. 9.9

Answer 2

in a 30 degree - 60 degree - 90 degree triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is root 3 as long as the shorter leg. That is, the side-length ratios of short leg:long, leg:hypotenuse are 1:root 3:2.