Question

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?

Answer 1

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`

Answer 2

11.66

Explanation:

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`