Question

.The hypotenuse of a right triangle is 10 cm and base is 6 cm the perpendiculars iength is


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Answer 1

Question -

The hypotenuse of a right triangle is 10 cm and the base is 6 CM . Find its perpendiculars length .

Answer -

Given : The length of Hypotenuse is 10 cm

The length of base is 6 cm

To find : The length of the perpendicular

Solution :

By Pythagoras theorem we can find the value of its perpendicular or height .

According to the Pythagoras theorem we have ,

( Hypotenuse )² = ( Height )² + ( Base )²

$\mapsto\:10^2\:=\:Height^2\:+\:6^2$

$\mapsto\:100\:=\:Height^2\:+\:36$

$\mapsto\:100\:-\:36\:=\:Height^2$

$\mapsto\:64\:=\:Height^2$

$\mapsto\:Height\:=\:\sqrt{64}$

$\boxed{\mapsto\:Height\:=\:8}$

What is Pythagoras theorem ?

Answer : The Pythagoras theorem states that the square of Hypotenuse of a right triangle will be equal to the sum of square of both sides .