Question

Find the value of perpendicular were base is 5 meter hypotenuse is 10 meter

Answer 1

Answer:

value= 5√3 metre

Step-by-step explanation:

Given: Hypotenuse= 10m

Base= 5m

To find: value of perpendicular

Solution: Let the perpendicular be the height of any triangle.

Let value of height be x.

As there is the hypotenuse, the given triangle is a right-angled triangle with measure 90°.

Therefore, hypotenuse^2= base^2 + height^2

Therefore, (10)^2= (5)^2 + (x)^2

Therefore, 100= 25 + x^2

Therefore, x^2= 100-25= 75

Taking square root on both sides

we get,

x= √75= √25×3

Therefore x= 5√3

Ans. The value of perpendicular is 5√3 metre.