Question

area of a right angled triangle is 30cm .If it's smallest side is 5 cm then it's hypotenuse is

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Answer 1

Answer:

13

Step-by-step explanation:

by formula

1/2×b×h

we remove one side next

side=12

by pythagoras theorem

answer is 13

Answer 2

Step-by-step explanation:

The hypotenuse is 13 cm.

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.