KelseyWoods
contestada

In a right triangle whose area is 12, each leg is as long as the side of a certain square. What is the area of the square?

A. 12
B. 24
C. 48
D. 144

Respuesta :

mathstudent55
Since the legs are as long as the side of a single square, the legs are congruent.

A = bh/2, but b = h, so

A = b^2/2

b^2/2 = A

b^2/2 = 12

b^2 = 24

b = sqrt(24)

The legs of the right triangle have length sqrt(24).

A = s^2 = (sqrt(24))^2 = 24

Answer: The area of the square is 24.

The area of square is 24.

What is square?

A figure which have 4 equal sides is named as square. The area of square is given by (side)^2.

What will be the area of square?

Let the base of the triangle or the side length of a square be x.

So, the area of square will be [tex]x^{2}[/tex].

The area of right angled triangle is given by 1/2*base*height.

As the triangle is made from square so, the base and height will be of same length.

So, the equation will be [tex]\frac{1}{2} x^{2} =12[/tex]

On solving this we get [tex]x^{2} =24[/tex] this is the area of square.

Therefore, the area of square is 24.

Learn more:https://brainly.in/question/554043

#SPJ2

Otras preguntas