# All congruent triangles are equal in area. Is the given statement true or false?

**Solution:**

Given, all congruent triangles are equal in area.

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

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

So, the triangles will have equal shape and size

Therefore, the areas are the same.

**✦ Try This** **:** Find the altitude of a parallelogram whose area is 54 cm² and base is 12 cm.

Given, the area of parallelogram is 54 cm²

Base = 12 cm

We have to find the altitude of the parallelogram

Area of parallelogram = base × altitude

54 = 12 × altitude

Altitude = 54/12

= 27/6

= 9/2

= 4.5 cm

Therefore, the altitude is 4.5 cm.

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

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 60**

## All congruent triangles are equal in area. Is the given statement true or false?

**Summary:**

The given statement, “all congruent triangles are equal in area” is true.

**☛ Related Questions:**

- All parallelograms having equal areas have the same perimeters. Is the given statement true or false
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