Question

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

Answer 1

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

Answer 2

61cm

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 =√(61* 61)`

Simplify the squareroot ,

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

Hence the hypontenuse of the triangle is 61cm .