Question

In the isosceles triangle below the congruent side each measure 13 meter if the bases of the triangle is 10 what is the height of the triangle

Answer 1

The Height of isosceles Triangle = 12 meter

Explanation:

Given as ,

A isosceles triangle each sides measure = 13 meter

Base of triangle = 10 meter

Let the height of triangle = H

Now Height (H) =
`\sqrt{ a^2-{(b^2)/(4)}}`

where B = base = 10 m

And a= sides = 13 m

So , H =
`\sqrt{ a^2-{(b^2)/(4)}}`

H =
`\sqrt{ 13^2-{(10^2)/(4)}}`

H =
`√(144)` = 12 meter

Hence , the Height of isosceles Triangle = 12 meter Answer