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

can you conclude about the height?

User Raldi
by
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1 Answer

6 votes

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.

User Mjfgates
by
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