Question

the length of the sides of a right angle triangle are 5 metre and 12 metre find the length of hypotenuse​

Answer 1

Answer:

$13m$

Step-by-step explanation:

Let AB = 12m and BC = 5m

By Pythagoras Theorem for a right triangle,

$=> base^{2} + altitude^{2} = Hypotenuse^{2}\\=> AB^{2}+BC^{2}=AC^{2}\\=> (5m)^{2} + (12m)^{2} = AC^{2}\\=> 25m^{2} + 144m^{2} = AC^{2}\\=> AC^{2} = 169m^{2}\\=> AC = \sqrt{169m^{2}}\\=> AC = 13m$