Question

If the area of a triangle is irrational and the base of the triangle is rational, what

can you conclude about the height?

Answer 1

Answer: The height of given triangle is also irrational.

Explanation:

Since we have given that

Let the area be equilateral triangle.

Area of triangle is irrational say
`√(3)`

Base of triangle is rational say
`2`

So, the height of triangle would be

`(√(3))/(2)* a=h\\\\(√(3))/(2)* 2=h\\\\h=√(3)`

Hence, the height of given triangle is also irrational.