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

Answer:

24

Step-by-step 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

Answer 2

Step-by-step explanation:

$hypotenuse {}^{2} \: = base {}^{2} + \: perpendicular {}^{2} \: \\ \\ base {}^{2} = 25 {}^{2} - 7 {}^{2} \\ \\ base {}^{2} = 625 - 49 \\ \\ base {}^{2} = 576 \\ \\ base = \sqrt{576} \\ \\ base = 24$