Question

In a right angled triangle find the length of hypotenuse if base and perpendicular are 15cm and 8 cm respectively​

Answer 1

.Answer: 17 cm Mark me as brainlist.

Step-by-step explanation:

In right triangle.

By Pythagoras theorem.

(Hypotenuse)2=(Perpendicular)2+(Base)2

=82+152

=64+225=289

Taking square roots on both sides, we get

∴Hypotenuse=289=17 cm.

Answer 2

Length of Hypotenuse is 17 cm.

Step-by-step explanation:

Given :-

Base is 15 cm.

Perpendicular is 8 cm.

To find :-

Length of hypotenuse.

Solution :-

Here,

We will use Pythagoras theorem that is :

• Pythagoras theorem is the theorem which states that square of hypotenuse is equal to the sum of squares of the other two sides of right angle triangle.
• Hypotenuse is the longest side of right angle triangle. This side is opposite to 90° angle.

Formula of Pythagoras theorem is:

$\color{orange} {\underline{ \boxed {\sf{Hypotenuse² = Base² + Perpendicular²}}}}$

So,

Put all values in Pythagoras theorem :

$\longrightarrow$ Hypotenuse² = (6)² + (8)²

$\longrightarrow$ Hypotenuse² = 225 + 64

$\longrightarrow$ Hypotenuse² = 289

$\longrightarrow$ Hypotenuse = $\sf{\sqrt{289}}$

$\longrightarrow$ Hypotenuse = 17

Therefore,

Length of Hypotenuse is 10 cm.