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

 

Asked by Topperlearning User | 25th 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

62 + p2 = 102

36 + p2 = 100

P2 = 64 = 82

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 cm2

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