Question

please answer this question with full method ​

Answer 1

Pythagoras Theorem

Pythagoras Theorem states that's in a right angled triangle, the square of the hypotenuse is equal to the sum of square of the other two sides.

The Given Question must be solved using Pythagoras Theorem as it a Right angled triangle.

Now, Let's move on finding the solution for our question.

Given :

• Hypotenuse = $\sf{PR\:=\:x}$
• Base = $\sf{QR\:=\:24\:cm}$
• Another side = $\sf{PQ\:=\:7\:cm}$

We know that,

$\boxed{PR^2\:=\:PQ^2\:+\:QR^2}$

Substituting the values in Formula, we get,

$\implies\sf{PR^2\:=\:PQ^2\:+\:QR^2}$

$\implies\sf{x^2\:=\:7^2\:+\:24^2}$

$\implies\sf{x^2\:=\:49\:+\:576}$

$\implies\sf{x^2\:=\:625}$

$\implies\sf{x\:=\:{\sqrt{625}}}$

$\implies\sf{x\:=\:25}$

Hence, the hypotenuse of the right angled triangle = 25 cm.

Answer 2

Answer:

${24}^{2} - {7}^{2} = 576 +49$

$\sqrt{625} = 25$

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