# CBSE Class 7 Answered

**Find the area of a right triangle with a base of 6 centimeters and a hypotenuse of 10 centimeters.**

Asked by Topperlearning User | 25 Nov, 2013, 12:10: AM

Expert Answer

Since the triangle is right angled, we use Pythagoras property to find the perpendicular height of the triangle.

(Base)^{2} + (perpendicular)^{2 } = (Hypotenuse)^{2}

6^{2} + p^{2} = 10^{2}

36 + p^{2} = 100

P^{2} = 64 = 8^{2}

Thus, p = 8

So, the perpendicular or height of the triangle is p = 8 cm.

Thus, Area of triangle

= x b x p

= x 6 x 8

= 24 cm^{2}

Answered by | 25 Nov, 2013, 02:10: AM

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