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# Triangles having the same base have equal area. Is the given statement true or false?

**Solution:**

Given, triangles having the same base have equal area.

We have to determine if the given statement is true or false.

Area of triangle = 1/2 × base × height

We observe that area of triangle depends upon base and height

So, triangles having the same base and same height will have equal area

Therefore, triangles having the same base may not have equal area.

**✦ Try This: **Triangles having the same base have equal perimeter. State whether the statement is true or false.

Given, triangles having the same base have equal area.

We have to determine if the given statement is true or false.

Perimeter of triangle = sum of all sides

Given, only the base of triangles are equal.

Their other sides are not equal to each other

Therefore, the perimeter may not be equal.

Therefore, the given statement is false.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 67**

## Triangles having the same base have equal area. Is the given statement true or false?

**Summary:**

The given statement, “Triangles having the same base have equal area” is false.

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