What is the hypotenuse? 18 9√2 √18 18√2

Question

asked Oct 3, 2020 226k views

1 Answer

Daniel Nelson · Answer 1 · 2020-10-08T12:57:24+0000

Answer:

BC = 18

Explanation:

Since ∠B = ∠C then the triangle is isosceles and so

∠B = ∠C = 45°

Using the sine ratio in the right triangle and

sin45° =
(1)/(√(2) ) , then

sin45° =
(opposite)/(hypotenuse) =
(AC)/(BC) =
(9√(2) )/(BC)

Multiply both sides by BC

BC × sin45° = 9
√(2) , that is

BC ×
(1)/(√(2) ) = 9
√(2)

Multiply both sides by
√(2)

BC = 9
√(2) ×
√(2) = 9 × 2 = 18