Question

1. Find area fa quadrilateral whose length of diagonal is 15 cm and the
length of perpendiculars to the diagonal are 10 cm and 8 cm.
21
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Answer 1

Answer:

135 cm^2

Step-by-step explanation:

The quad. can be seen as a combination of two triangles.

For the first triangle, base = 15 cm and height = 10 cm.

Therefore, area of this triangle = 1/2 * base * height = 1/2 * 15 * 10 = 75 cm^2

For the other triangle, base = 15 cm and height = 8 cm.

Therefore, area of this triangle = 1/2* base * height = 1/2 * 15 * 8 = 60 cm^2

Therefkre total area of the quad. = Sum of the areas of the two triangles = 75 + 60 = 135 cm^2

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