Question

What is the measure of the hypotenuse?

Answer 1

Explanation:

using pythagoras theorem which says the square root of the sum of the square of the opposite side and the square of the adjacent side would give the value of the hypotenuse

hyp^2 = opp^2 + adj^2

i dont have the square root symbol but u can solve it either way :

you can input the values given and then collect like terms or u can take the square root of the right side. The right angle would always face the hypotenuse which is the longest side.

hyp = x

x^2=(5)^2 +(12)^2

x^2= 25 +144

x^2=169

take the square of both sides to get your value for x

x= 13

Answer 2

13

`solution \\ hypotenuse = x \\ base = 12 \\ perpendicular = 5 \\ using \: pythagoras \: theorem \\ {h}^(2) = {p}^(2) + {b}^(2) \\ or \: {x}^(2) = {5}^(2) + {12}^(2) \\ or \: {x}^(2) = 25 + 144 \\ or \: {x}^(2) = 169 \\ or \: x = √(169) \\ x = 13 \\`

hope it helps....

Good luck on your assignment