Question

Use the Pythagorean theorem to find the length of each missing hypotenuse below. Remember: if the answer isn’t a perfect square, you can leave it in the square root form.

Answer 1

a. 5

b. √128

c. √221

Explanation:

a. √4²+3² b. √8²+8²

=√16+9. =√64+64

=√25. =√128

= 5

c.√10²+11²

=√100+121

=√221

Answer 2

a = 5,

b = √128,

c = √221

Explanations:

Pythagorean theorem

Hypotenuse² = adjacent² + opposite²

a. C² = 4² + 3²

C² = 16 + 9

C² = 25

C = √25

C = 5

b. C² = 8² + 8²

C² = 64 + 64

C² = 128

C = √128

c. C² = 11² + 10²

C² = 121 + 100

C² = 221

C = √221

a = 5, b = √128, c = √221