Question

the perimeter of a right angled triangle is 30 cm its hypotenuse is 13 and base is 5cm find the area of the triangle

Answer 1

Answer:

30

Step-by-step explanation:

Since the perimeter is 30 and two of its sides have lengths 13 and 5, the third side (its height) has length 30 - 13 - 5 = 12.

[ Now's a chance for a check.  We're also told that it is a right angle triangle, so by Pythagoras' Theorem, we should have 5² + 12² = 13².  Good news, this is correct, since 5² + 12² = 25 + 144 = 169 = 13². ]

The area is then

(base x height) / 2 = (5 x 12) / 2 = 5 x 6 = 30.