If the hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs?

Question

asked Oct 18, 2020 164k views

1 Answer

Rizki · Answer 1 · 2020-10-22T04:26:40+0000

Answer:

9.19

Explanation:

Using Law of sines to find other two lengths:

a/sinA=b/sinB

let a be length of side unknown and b be hypotenuse then sinB=sin90 and sinA=sin45

a/sin45=13/sin90

a=13sin45

a=13(0.707)

=9.19

As the given triangle is isosceles hence the length of other two legs will be same i.e 9.19 !