Question

12. Area of a right-angled triangle is 30 square cm. Find its hypotenuse if its smallest side is 5 cm.

Answer 1

refer to the attached image

Answer 2

Answer:

              The hypotenuse is 13 cm.

Step-by-step explanation:

Given: The area of a right angled triangle is 30 cm square.

To find: If its smallest side is 5 cm, then find its hypotenuse.

Solution:

Now we know that area of triangle is:

                 A = 1/2 x base x height

Let the base be 5 cm, then:

                 30 = 1/2 x 5 x h

                 h = 30 x 2 / 5

                 h = 6 x 2

                 h = 12 cm

Now using Pythagoras theorem, we get:

                 hypotenuse = √5² + 12²

                 hypotenuse = √25 + 144

                 hypotenuse = √169

                 hypotenuse = 13 cm. ans.