Question

From the given figures, find the length of unknowns sides of Pythagorean theorem. (In solution)​

Answer 1

Answer:

61cm

Step-by-step explanation:

A right angled triangle is given to us with two sides as 11cm and 60 cm .We need to find out the length of the third side . Here , since it is a right angle triangle we can apply the Pythagoras theorem .

Pythagoras Theorem :- In a right angle triangle sum of squares of perpendicular and base is equal to the square of hypotenuse.

$\rm\implies hypontenuse^2 = base^2+perpendicular^2$

As we can see that here ,

Base = 11cm

Perpendicular = 60cm.

$\rm\implies Hypontenuse^2 = Perpendicular^2+Base^2$

Substitute the respective values ,

$\rm\implies h^2 = (11cm)^2+(60cm)^2$

Simplifying ,

$\rm\implies h^2 = 121cm^2+3600cm^2$

Add the numbers on RHS ,

$\rm\implies h^2= 3721$

Take squareroot on both sides ,

$\rm\implies h =\sqrt{61\times 61}$

Simplify the squareroot ,

$\rm\implies \boxed{\blue{\rm Hypontenuse= 61 cm }}$

Hence the hypontenuse of the triangle is 61cm .

Answer 2

Use the formula and substitute the values in a^2 + b^2 = c^2