Question

Heron's Formula
Find the area of right angled triangle whose base is 12cm and height is 5 cm​

Answer 1

Given: The sides 12 cm and 5 cm

To find: Area of triangle.

Solution:

• Now we have given that base is 12 cm and height is 5 cm​.

• So by Pythagoras theorem, we have:

                hypotenuse = √(base² + height²)

                hypotenuse = √12² + 5²

                hypotenuse = √144 + 25

                hypotenuse = √169

                hypotenuse = 13 cm

• Now s = a + b + c / 2 = 5 + 12 + 13 / 2

                s = 15

• So area of triangle using herons formula is:

                Area = √ s x (s - a) x (s - b) x (s - c)

                Area = √ 15 x (10) x (3) x (2)

                Area = √ 150 x 6

                Area = √ 900

                Area = 30 cm²

Answer:

            So the area of right angled triangle is 30 cm².

Answer 2

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