Question

Pythagorean Theorem with Known Legs

Answer 1

`\red{c = √(170) }`

Explanation:

We can use Pythagorean Theorem to find the value of the hypotenuse(C).

`{a}^(2) + {b}^(2) = {c}^(2) \\ {7}^(2) + {11}^(2) = {c}^(2) \\ 49 + 121 = {c}^(2) \\ 170 = {c}^(2) \\ √(170) = c \\ 13.03 \: units = c`

Answer 2

`√(170) = c`

Explanation:

We are trying to find the hypotenuse of a right triangle

We will use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

11^2 + 7^2 = c^2

121 + 49 = c^2

170 = c^2

Taking the square root of each side

`√(170) = c`