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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

The area of the right triangle shown is 24 square feetWhich equations can be used to find the lengths of the legs of the triangle Select three options05xx 2 24x class=

Respuesta :

stormiarmy
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

The equations can be used to find the lengths of the legs of the triangle is 0.5(x)(x + 2) = 24

We have given that the area of the triangle is 24.

What is the formula for the area of the triangle?

[tex]A=\frac{1}{2}\times height\times base[/tex]

Therefore we have height =(x+2)feet

base =xft

Use the given value in the formula

[tex]24=\frac{1}{2}\times x\times (x+2)\\24=0.5(x)(x+2)[/tex]

Therefore, the first option is correct.

To learn more about the area of triangle visit:

https://brainly.com/question/21735282

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