Question

whole square of triangle


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Answer 1

Answer:

The area of the whole triangle is b*h/2.

The area of the square is x2. The area of the triangle that is obtained by sliding together the two smaller triangles standing on the base is (b-x)*x/2.

Step-by-step explanation:

Hope it is useful

Answer 2

Answer:

The area of the whole triangle is b*h/2. The area of the square is x2. The area of the triangle that is obtained by sliding together the two smaller triangles standing on the base is (b-x)*x/2.

Step-by-step explanation:

Modern Solution

The area of the whole triangle is b*h/2.

The area of the small triangle on the top is x*(h-x)/2

The area of the square is x2.

The area of the triangle that is obtained by sliding together the two smaller triangles standing on the base is (b-x)*x/2.

Therefore,

b*h/2 = x*(h-x)/2 + x2 + (b-x)*x/2

b*h = x*(h-x) + 2*x2 + (b-x)*x

= x*h - x2 + 2*x2 + b*x - x2

= x*h + b*x

= x*(h + b)

So

x = b*h/(b + h).

Click on the Flash animation below to view step-by-step how a square in a triangle is made: