Question

HELP ME PLEASE!! π∆π π∆π

Applying the Pythagorean theorem, Find the measure of the missing side of a right triangle if one leg is 7 cm and the hypotenuse is 25 cm.​

Answer 1

Explanation:

`hypotenuse {}^(2) \: = base {}^(2) + \: perpendicular {}^(2) \: \\ \\ base {}^(2) = 25 {}^(2) - 7 {}^(2) \\ \\ base {}^(2) = 625 - 49 \\ \\ base {}^(2) = 576 \\ \\ base = √(576) \\ \\ base = 24 \\ \\`

Answer 2

24

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem

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

7^2 + b^2 = 25^2

49 + b^2 = 625

Subtract 49 from each side

49+b^2 -49 = 625-49

b^2 = 576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b = 24