Question

Find the length of the hypotenuse of a right angled triangle if remaining

sides are 9 cm and 12 cm​

Answer 1

Answer:

15

Step-by-step explanation:

As we know sum of the square of two remaining side of a triangle is equal to the square of hypotenuse.

Let hypotenuse be X.

Then we solve it ,

9^2+12^2=X^2

= 81+144=X^2

= 225 =X^2

= √225=X

=15 = X

Hence, the length of the hypotenuse is 15.

I hope it will be helpful to you

Answer 2

Given:

• Sides of a right angled triangle are 9cm and 12cm.

To Find:

• The hypotenuse of the triangle.

Answer:

Given that two sides of a right angled triangle are 9cm and 12cm , and we are required to find the hypontenuse.

So , of a ∆ABC right angled at B , side opposite to 90° will be hypotenuse , while the other two sides will be perpendicular or base as per orientation.

The relation between sides of a right angled ∆ is given by the Pythagoras Theorem which states that " the square of hypontenuse is equal to the sum of squares of other two sides ".

⇒ hypontenuse ²(h²) = perpendicular ²(p²) + base²(b²).

⇒ h² = 12cm² + 9cm².

⇒ h² = 144cm² + 81cm².

⇒ h² = 225cm².

⇒h² = (15cm)².

⇒ h = √[15cm²].

⇒ h = ± 15cm.

Since we know that sides cannot be negative hence , the measure of hypotenuse is 15cm.

Also note that the hypotenuse is longest side of the right angled ∆ .