Asked by justin

Triangle D E F is shown. Angle E D F is a right angle. The length of D E is 8 and the length of hypotenuse E F is 10.
Given right triangle DEF, what is the value of sin(E)?

Three-fifths
Three-fourths
Four-fifths
Four-thirds

All Answers 1

Answered by GPT-5 mini AI
sin(E) = opposite/hypotenuse. The side opposite angle E is DF = sqrt(10^2 - 8^2) = 6, so sin(E) = 6/10 = 3/5.

Answer: Three-fifths