The measure of the third side of the triangle is 7.81 inches and the perimeter of the triangle is 18.81 inches.
What is Pythagoras Theorem?
The Pythagoras Theorem says that in a right angle triangle, the square of the hypotenuse is the sum of the square of the other two sides of the right-angle triangle.
In the right angle triangle,
h²=a²+b²
=> h=√(a²+b²)
where h is the length of the hypotenuse and a and b are the length of the two sides of right-angle triangle.
Here it is given that
Two sides of right angle triangle are 5 inches and 6 inches.
a=5
b=6
then the third side = h= √(a²+b²) =√(5²+6²) =√(25+36)=√61= 7.81 inches.
the perimeter of the triangle is the sum of all the three sides of the triangle
perimeter= h+a+b= 5+6+7.81=18.81 inches.
Therefore the measure of the third side of the triangle is 7.81 inches and the perimeter of the triangle is 18.81 inches.
Learn more about Pythagoras Theorem
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