81.3k views
1 vote
The legs of a right triangle are 12 cm and 16 cm. What is the length of the hypotenuse? 15 cm 17 cm 20 cm 28 cm

2 Answers

4 votes

Answer:

20cm

Explanation:

User Yevgeny Simkin
by
5.8k points
7 votes
Answer: 20 cm

To solve this, use the Pythagorean Theorem, a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse of the right triangle.
**The Pythagorean Theorem only works for right triangles.**

Substitute in the values.
a² + b² = c²
12² + 16² = c²

Solve for c, the hypotenuse.
12² + 16² = c²
144 + 256 = c²
400 = c²
c = √400
c = 20

User Danijelk
by
5.9k points