Question

The area of a right angled triangle is 6 sq cm. if its base measures 4 cm and it's hypotenuse measures 5 cm, find its perimeter

Answer 1

Base of triangle = 4 cm
Suppose height of triangle is h cm.
Area of right triangle = 12×4×h = 6 cm2
⇒2h = 6⇒h = 3
so height of triangle is 3 cm.
Length of the hypotenuse = 5 cm
Perimeter of triangle = base + height + hypotenuse = 4 cm + 3 cm + 5 cm = 12 cm