Question

Find the perimeter of right triangle , whose Hypotenuse is 25cm and base is 24cm.

Answer 1

Question :

Find the perimeter of right triangle , whose Hypotenuse is 25cm and base is 24cm.

Answer :

$\sf\purple{Given:}$

• Hypotenuse is 25 cm

• Base is 24 cm

$\sf\purple{To\:Find:}$

• Perimeter of the right angled triangle = ?

Explanation :

To find the perimeter of the right angled triangle we need to find the measure of the third side of the triangle that is the perpendicular or opposite .

By using Pythagoras theorem ,

hypo² = base² + opp²

$\longrightarrow\mathbb{25² = 24² + opp² }$

$\longrightarrow\mathbb{625 = 576+ opp² }$

$\longrightarrow\mathbb{625 - 576= opp² }$

$\longrightarrow\mathbb{ opp² = 49 }$

$\longrightarrow\mathbb{ opp = √49 }$

$\longrightarrow\mathbb\pink{ opp = 7cm. }$

Perimeter of the triangle = hypotenuse + opposite + base

$\longrightarrow{25 + 24 + 7}$

$\longrightarrow{49+ 7}$

$\longrightarrow\pink{56 cm}$

• Therefore perimeter of the triangle is 56 cm

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Answer 2

Answer:

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