Question

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

Answer 1

Answer: a b d on edge

Step-by-step explanation: no cap

Answer 2

The equations used to find the length of leg of triangle are:

$0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100$

Solution:

From given,

Area of right triangle = 24 square feet

Also from given figure in question (attached below )

base = x and height = x + 2

The area of triangle is given by formula:

$Area = \frac{1}{2} \times base \times height$

Substituting the values we get,

$24 = \frac{1}{2} \times x \times (x+2)\\\\24 = 0.5x(x + 2)\\\\48 = x(x+2)\\\\x^2 + 2x - 48 = 0$

Also, the above equation can be written as,

$x^2 + (x+2)^2 =100$

Thus the equations used to find the length of leg of triangle are:

$0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100$