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.

Question

asked Jan 28, 2021 89.8k views

2 Answers

Mohammed Aouf Zouag · Answer 1 · 2021-01-30T06:09:00+0000

Answer:

√(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.