The hypotenuse of a 4545-90- triangle has a length of 10 units what is the length of one of its legs

Question

asked Apr 3, 2019 39.2k views

2 Answers

Estani · Answer 1 · 2019-04-07T04:28:55+0000

Answer:

5
√(2)

Explanation:

This is a right isosceles triangle with legs of same length

let x be the length of a leg then

sin45° =
(opposite)/(hypotenuse) =
(x)/(10)

multiply both sides by 10

x = 10sin45° = 10 ×
(√(2) )/(2) = 5
√(2) ← exact length