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Harry drew the shape below composed of a square and a triangle. If the side of the square is 8 cm, and the area of the square is 100 square centimeters, which is the height of the triangle?

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We will see that the triangle must have a height equal to 9cm.

Which is the height of the triangle?

For a square of sidelength s the area is a = s^2, and for a triangle of base b and height h, the area is a = b*h/2.

Here we know that the sidelength of the square (and the base of the triangle) is 8cm, and the total area is 100cm^2, then we need to solve the equation:

100cm^2 = (8cm)^2 + (8cm)*h/2

So we need to find the value of h:

100cm^2 - 64cm^2 = (8cm)*h/2

(2*36cm^2)/8cm = h = 9cm

The height of the triangle is 9cm

If you want to learn more about areas you can read:

https://brainly.com/question/24487155

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