Question

question 8 of 10 which of the following are true statements about a 30 - 60 - 90 triangle? check all that apply. a. the hypotenuse is $sqrt{3}$ times as long as the longer leg. b. the longer leg is twice as long as the shorter leg. c. the hypotenuse is twice as long as the longer leg. d. the longer leg is $sqrt{3}$ times as long as the shorter leg. e. the hypotenuse is twice as long as the shorter leg. f. the hypotenuse is $sqrt{3}$ times as long as the shorter leg.

Explanation:

In a 30-60-90 triangle, the sides have a ratio: shorter leg \( x \), longer leg \( x\sqrt{3} \), hypotenuse \( 2x \). Check each option against this ratio.

Answer:

D. The longer leg is √3 times as long as the shorter leg, E. The hypotenuse is twice as long as the shorter leg.