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A wall is in the shape of a pentagon. The base of the rectangular part is 10 m. The base of the isosceles triangle on top is also 10 m, and its equal sides are 6 m each. Calculate the height of the tr

Mathematics

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Step-by-step solution

2 steps
  1. Identify the shape and given dimensions.

    The wall is in the shape of a pentagon, which can be divided into a rectangle and an isosceles triangle on top, as shown in the diagram.
    The base of the rectangle is 10 m.
    The base of the isosceles triangle is also 10 m.
    The two equal slanted sides of the isosceles triangle are 6 m each.
    The height of the rectangular part is not explicitly given in the diagram.

  2. Calculate the height of the triangular part.

    For the isosceles triangle, we can divide it into two right-angled triangles.
    The base of each right-angled triangle is half of the triangle's base

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