Multiple choice

One boy has two toys of equal areas; one is in the shape of a right-anglde triangle whose base and height are the same and the other one is in the shape of a rectangle whose area is 200 cm2. Find the height of the triangular-shaped toy.

  1. 20 cm

  2. 10 cm

  3. 40 cm

  4. None of these
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A Correct answer
Explanation

Triangle area = (1/2) * base * height. Since base = height = h, Area = 0.5 * h^2. Rectangle area = 200. 0.5 * h^2 = 200, so h^2 = 400, h = 20.

AI explanation

Using the area of a rectangle formula, the area of the rectangular toy is given as 200 square cm, so the right-angled triangle also has an area of 200 square cm. Because the base and height of the triangle are equal, the area formula is one half times height squared, which gives one half times height squared equals 200. Solving this gives height squared equals 400, so the height is 20 cm.

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