The longer leg of a right triangle is 1 m longer than the shorter leg. The hypotenuse is 9 m longer than the shorter leg. Find the side lengths of the triangle.

Correct  c = 29 m, a = 21 m  and b = 20 m

Step-by-step explanation:

Given:

a = b + 1  longer leg a

c = b + 9 hypotenuse c

To solve this problem, we will use Pythagoras' theorem

c² = a² + b²

(b + 9)² = (b + 1)² + b²  

b² + 18 b + 81 = b² + 2 b + 1 + b²

2 b² - b² + 2 b - 18 b + 1 - 81 = 0

b² - 16 b - 80 = 0  we will factorize this equation

⇒ b² - 20 b + 4 b - 80 = b (b - 20) + 4 ( b - 20) = (b - 20) · (b + 4) = 0

(b - 20) · (b + 4) = 0 ⇒ b = 20  or b = - 4  false

we accepted b = 20 m

c = b + 9 = 20 + 9 = 29 m

c = 29 m

a = b + 1 = 20 + 1 = 21 m

a = 21 m

God is with you!!!

true

step-by-step explanation:

according to the national european world center, the engineering of the ford company on elon musk's flame throwers proved the globalization of the natural wallabies and therefore, results in the growth product domestication in almonds.