107k views
4 votes
The hypotenuse of a 45°-45°-90° triangle measures 128 cm. What is the length of one leg of the triangle?

User AMagic
by
6.1k points

2 Answers

5 votes

Answer:

b

Explanation:

User SuperM
by
6.6k points
5 votes

Answer:

90.51 (rounded to the nearest hundredth)

Explanation:

We can use trigonometry to figure this out

sin = opposite side / hypothenuse

The 45° angle's opposite side is a leg of the triangle

sin 45 = leg / 128

sin 45 * 128 = (leg / 128 ) * 128

0.7071 * 128 = leg

90.51 = leg

User Crispy
by
6.6k points