Question

Solve for the missing side in the right triangle.
A) 5
B) 12
C) 13
D) 17

Answer 1

Answer:

c) 13

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {12}^{2} = {c}^{2} \\ 25 + 144 = {c}^{2} \\ 169 = {c}^{2} \\ c = 13$

Answer 2

Answer:

C) 13

Step-by-step explanation:

Using the formula: $a^{2} +b^{2}=c^{2}$, we can plug in 5 into a and 12 into b, since c is always the hypotenuse. Plug those numbers into the formula: $5^{2} + 12^{2} =c^{2}$ and you get 25 + 144 = $c^{2}$ or 169 = $c^{2}$. You can then get rid of the square on the c by finding the square root of both sides. So, the square root of 169 would give you the answer of 13.