Question

What will be the length of third side of a right angled triangle whose hypotenuse is 13cm and

Answer 1

Answer:

12

Step-by-step explanation:

Pythagorean theorem:

a^2 + b ^2 = c ^2

side^2 + side^2 = hypotenuse^2

5^2 + x^2 = 13^2

25 + x ^2 = 169

subtract 25

x^2 = 144

√ each side

x= √144 = 12

Answer 2

Answer:

12 cm

Step-by-step explanation:

let call hypotenuse a

and the other 2 sides are b, c respectively

have a = 13 cm and b = 5 cm

Follow Pythagorean theorem for Right triangle

$a^{2} = b^{2} +c^{2} \\c^{2} = a^{2} - b^{2}$

$c^{2} = 13^{2} -5^{2} \\c^{2} = 144\\c = 12$

The length of third side is 12 cm