Question

The area of a right-angled triangle is 30 m2. If its smallest side is 5 m, then its hypotenuse is​

Answer 1

Answer:

area of a rt. angles triangle=1/2 * base * height

30=1/2*5*height   (you can take anything either base or height as 5 cm)

height=30*2/5

h=12 cm

so hypt^2=b^2+h^2

hypt^2=12^2+5^2

hypt^2=144+25

hypt^2=169

hypt=13 cm

so hypotoneuse is 13 cm

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Step-by-step explanation:

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.