Studdy AI Logo
Math  /  Geometry

Question45−45−9045-45-90 y. What is the length of yy in this 45−45−9045-45-90 triangle? 8 424 \sqrt{2} 828 \sqrt{2} 4

Studdy Solution

STEP 1

1. We have a 45∘−45∘−90∘45^\circ - 45^\circ - 90^\circ triangle, which is an isosceles right triangle.
2. In a 45∘−45∘−90∘45^\circ - 45^\circ - 90^\circ triangle, the legs are equal in length.
3. The length of one leg is given as 88.
4. We need to find the length of the other leg, yy.

STEP 2

1. Understand the properties of a 45∘−45∘−90∘45^\circ - 45^\circ - 90^\circ triangle.
2. Use the properties to find the length of yy.

STEP 3

A 45∘−45∘−90∘45^\circ - 45^\circ - 90^\circ triangle is an isosceles right triangle, which means the two legs are equal in length. Therefore, if one leg is 88, the other leg, yy, must also be 88.

STEP 4

Since the legs of the triangle are equal, and one leg is given as 88, the length of yy is also 88.
The length of yy in this 45∘−45∘−90∘45^\circ - 45^\circ - 90^\circ triangle is:
8 \boxed{8}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord