Question

The figure ABCD is made up of two different triangles.ABD is a right-angled triangle.AB=25 cm,AD=60 cm,BD=65 cm and CE=45 cm.Find the area of figure ABCD.​

Answer 1

the area of ABCD is 135

Answer 2

2212.5 cm²

Explanation:

ABCD is constructed from 2 right triangles ABD and BCD

The area (A ) of a triangle is calculated using the formula

A =
`(1)/(2)` bh ( b is the base and h the perpendicular height )

In ΔABD, b = AD = 60 and h = AB = 25, hence

A =
`(1)/(2)` × 60 × 25 = 30 × 25 = 750 cm²

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In ΔBCD, b = BD = 65 and h = CE = 45, hence

A =
`(1)/(2)` × 65 × 45 = 1462.5 cm²

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The area of figure ABCD = area of ΔABD + area of ΔBCD

A = 750 + 1462.5 = 2212.5 cm²