Question

C. Determine whether the given lengths are for the sides of 45°-45°-90° triangle or 30°-60°-90° triangle.a.) 10, 10, 10√2b.) 16, 8, 8√3c.) 10√2 ,10√2, 20

Answer 1

• 30° - 60° - 90° triangles are right triangles whose sides have the following special proportions:

For sides b) 6, 8, 8√3; we have:

h = 16.

h/2 = 8

√3/2 h = 8√3

Hence, b.) 16, 8, 8√3 are lengths for the sides of 30°- 60°- 90° triangle.

• 45°- 45°- 90° triangles are right triangles whose sides have the following special proportions:

For sides: a.) 10, 10, 10√2, we have:

k = 10

k√2 = 10√2

c.) 10√2 ,10√2, 20​

k = 10√2

k√2 = 20

Hence, a.) 10, 10, 10√2; and c.) 10√2 ,10√2, 20​ are lengths for the sides of 45°- 45°- 90° triangle