Question

The area of the right triangle shown is 24 square feet.

Which equations can be used to find the lengths of the legs of the triangle? Select three options

0.5(x)(x + 2) = 24

x(x + 2) = 24

x2 + 2x – 24 = 0

x2 + 2x – 48 = 0

x2 + (x + 2)2 = 100

Answer 1

To find the lengths of the legs of the right triangle, you can use the equations 0.5(x)(x + 2) = 24, x(x + 2) = 24, and x^2 + 2x – 24 = 0.

Step-by-step explanation:

The equations that can be used to find the lengths of the legs of the right triangle are:

1. 0.5(x)(x + 2) = 24
2. x(x + 2) = 24
3. x^2 + 2x – 24 = 0

To solve the equations, you can set them equal to 0 and then use factoring, completing the square, or the quadratic formula to find the values of x.

Answer 2

Correct answer:
A) 0.5 x(x+2) =24 = 24
D) X^2 + 2x - 48 = 0
E) x^2 + (x+2)2 = 100



To check the rest unwrap the bracket
x^2+(x+2)^2=100
x^2+x^2+4+4x=100
2x^2+4x+4=100
2x^2+4x-96=0