# How do you use the Pythagorean Theorem to find the missing side of the right triangle with the given measures given c is the hypotenuse and we have a = 6, b = 10?

Feb 14, 2016

c ≈ 11.66

#### Explanation:

Pythagoras' Theorem states that ' the square on the hypotenuse of a right triangle is equal to the sum of the squares of the other 2 sides'

for this triangle it means that : ${c}^{2} = {a}^{2} + {b}^{2}$

hence ${c}^{2} = {6}^{2} + {10}^{2} = 36 + 100 = 136$

now  c^2 = 136 rArr c = sqrt136 ≈ 11.66

Feb 14, 2016

as we know hypotenuse is the largest side in a right angle triangle so by using the Pythagoras equation which is ${c}^{2} = {a}^{2} + {b}^{2}$ now after placing the values ${c}^{2} = {6}^{2} + {10}^{2}$
${c}^{2} = 36 + 100$
now we will cancel the square on ${c}^{2}$ and place a square root on √136 so the ans will be $11.66$