Question

The lengths of the two legs of a right triangle are 4 and 7. What is the length of the

hypotenuse? Express answer in Simplified Radical Form.

Answer 1

`√(65)`

Explanation:

To find the hypotenuese of a right angle you use the pythagreon theroem.

`{a}^(2) + {b}^(2) = {c}^(2)`

a and b are the height and base, while c is the hypotenuese. simply insert the values in the equation and find the variable.

`{4}^(2) + {7}^(2) = {c}^(2) \\ 16 + 49 = {c}^(2) \\ 65 = {c}^(2) \\ √(65) = c`

The radical form answer is above, otherwise it would be a decimal.

Answer 2

Answer:8.06

Explanation:

4 x 4= 16 7 x 7 = 49

49+16=65

square root of 65 =8.06