Which of the following statements are true (T) and which are false (F):
The two altitudes corresponding to two equal sides of a triangle need not be equal.

Given:

The two altitudes corresponding to two equal sides of a triangle need not be equal.

To do:

We have to find whether the given statement is true or false.

Solution:

Since two sides are equal, the triangle is an isosceles triangle. 

This implies,

The two altitudes corresponding to two equal sides must be equal.

Therefore,

The given statement is false.     

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Updated on: 10-Oct-2022

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