Question

In a right-angled triangle, one side is equal to 5 cm and the other equal to 12 cm. Find out length of the third side?​

Answer 1

Given :-

• One side = 5 cm
• Second Side = 12 cm

To Find :-

Length of third side

Solution :-

According to Pythagoras Theorem

H² = P² + B²

• H is the Hypotenuse
• P is the Perpendicular
• B is the Base

H² = 5² + 12²

H² = 25 + 144

H² = 169

H = √169

H = 13

Hence :-

$\large \bf \: Third \: side \: is \: 13 \: cm$

Know More :-

Area of square = side²

Area of Rectangle = Length × Breadth

Answer 2

Let AB and BC be the sides of the triangle containing right angle and AC be the hypotenuse as shown in the above figure:

It is given that AB=5 cm BC=12 cm

According to the pythagoras theorem

${ac}^{2} = {ab}^{2} + {bc}^{2}$

$= > {ac}^{2} = {5}^{2} + {12}^{2}$

$= > {ac}^{2} = 25 + 144$

$= > {ac}^{2} = 169$

$= > a = 13$

$= > ac = \sqrt{16}$

Hence, the hypotenuse AC=13 cm