Question

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answer 1

Answer :

$\pink{\sf Third \: side \: of \: the \: triangle = 45}$

Solution :

As, the given triangle is a right angled triangle,

Hence, We can use the Pythagoras' Theorem,

$\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}$

Here,

• H = Hypotenuse of triangle
• B = Base of triangle
• P = Perpendicular of triangle

In given triangle,

• Base = 24
• Hypotenuse = 51
• Perpendicular = ?

Now, by Pythagoras' theorem,

$\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}$

$\sf : \implies (51)^{2} = (24)^{2} + P^{2}$

$\sf : \implies 51 \times 51 = 24 \times 24 + P^{2}$

$\sf : \implies 2601 = 576 + P^{2}$

$\sf : \implies P^{2} = 2601 - 576$

$\sf : \implies P^{2} = 2025$

By squaring both sides :

$\sf \sqrt{P^{2}} = \sqrt{2025}$

$\sf : \implies P^{2} = \sqrt{2025}$

$\sf : \implies P^{2} = \sqrt{(45)^{2}}$

$\sf : \implies P^{2} = 45$

$\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 45}$

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