ABCD is a rectangle with a length of 10 cm and a breadth of 3 cm. If AC is diagonal, then what is the area of triangle ABC?

ABCD is a rectangle with a length of 10 cm and a breadth of 3 cm. If AC is diagonal, then what is the area of triangle ABC?

1. A

25 cm2

2. B

18 cm2

3. C

15 cm2

4. D

28 cm2

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Solution:

Given,

The length of a rectangle = 10 cm

The breadth of a rectangle = 3 cm

Area of triangle ABC = $\frac{1}{2}$(Area of rectangle ABCD)

$\frac{1}{2}\left(\mathrm{length}×\mathrm{breadth}\right)$

$\frac{1}{2}\left(10×3\right)$

$\frac{1}{2}×30$

= 15 cm2

Therefore, the area of triangle ABC is 15 cm2.

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