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
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Answer 1

Answer:

1 and 4

Step-by-step explanation:

Area of a right triangle is given by

1/2 base×height.

From the given options i can conclude that base and height are

x and x+2.

so area Δ = 0.5x(x+2)

also, area is given = 24 ft^2

⇒$\frac{1}{2} x(x+2)=24$

⇒$x(x+2)=48$

⇒$x^2+2x-48=0$

Therefore, equations 1 and 4 are can be used to find the lengths of the legs of the triangle.

Answer 2

Answer:

A D F

Step-by-step explanation:

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