Question

Pythagorean Theorem with Known Legs

Answer 1

Answer:

$\sqrt{170} = c$

Step-by-step 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

$\sqrt{170} = c$

Answer 2

Answer:

$\red{c = \sqrt{170} }$

Step-by-step explanation:

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

${a}^{2} + {b}^{2} = {c}^{2} \\ {7}^{2} + {11}^{2} = {c}^{2} \\ 49 + 121 = {c}^{2} \\ 170 = {c}^{2} \\ \sqrt{170} = c \\ 13.03 \: units = c$