If the area of the triangle with base x.........?

Question

If the area of the triangle with vase x is equal to area of a their square of side x, the altitude of the triangle is???

The correct answer is 2x but how it came i don't know.

Plz help me!!!!!

Answer me in detail........

Answer 1

the area of a triangle is 1/2 base x height

we know this trainge has a base of x and an area of x²

therefore we have 1/2 times x times height = x²

divide both sides by x

1/2 times the height = x

mulitply both sides by 2

height = 2x  

Answer 2

area of base of triangle+area of base of square

x+x=2x.

Answer 3

Well the triangle and the square have equal areas.

The base of the triangle is x and the height (altitude) is unkwown, so i'll call it A.

The area of a triangle  = (1/2)(b)(h)

Area = (1/2)(x)(A)

The square has a side length of x

Area of a square = s^2 (where s is the side length of the square)

Area = x^2

Since the two areas are equal, set them equal to each other and solve for the altitude, A.

(1/2)(x)(A) = x^2  divide both sides by x

(1/2)(A) = x^2/x  (x^2/x = x)

(1/2)(A) = x  multiply both sides by 2 to get rid of 1/2

A = 2x

Voila, the altitude is 2x