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.
[tex]\rm\implies hypontenuse^2 = base^2+perpendicular^2[/tex]
As we can see that here ,
Base = 11cm
Perpendicular = 60cm.
[tex]\rm\implies Hypontenuse^2 = Perpendicular^2+Base^2 [/tex]
Substitute the respective values ,
[tex]\rm\implies h^2 = (11cm)^2+(60cm)^2 [/tex]
Simplifying ,
[tex]\rm\implies h^2 = 121cm^2+3600cm^2 [/tex]
Add the numbers on RHS ,
[tex]\rm\implies h^2= 3721 [/tex]
Take squareroot on both sides ,
[tex]\rm\implies h =\sqrt{61\times 61}[/tex]
Simplify the squareroot ,
[tex]\rm\implies \boxed{\blue{\rm Hypontenuse= 61 cm }}[/tex]
Hence the hypontenuse of the triangle is 61cm .
