# The area of ∆ ABC is 8 cm² in which AB = AC = 4 cm and ∠A = 90º. Is the given statement true or false and justify your answer.

**Solution:**

Given, area of triangle ABC = 8 cm²

AB = AC = 4 cm

∠A = 90º

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

ABC is an __isosceles triangle__ right angled at A.

Area of triangle = 1/2 × base × height

Area of triangle ABC = 1/2 × AC × BC

= 1/2 × 4 × 4

= 2 × 4

Area = 8 cm²

Therefore, the given statement is true.

**✦ Try This: **Write True or False and justify your answer: The area of ∆ ABC is 6 cm² in which AB = AC = 4 cm and ∠A = 90º.

Given, area of triangle ABC = 6 cm²

AB = AC = 4 cm

∠A = 90º

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

ABC is an isosceles triangle right angled at A.

Area of triangle = 1/2 × base × height

Area of triangle ABC = 1/2 × AC × BC

= 1/2 × 4 × 4

= 2 × 4

Area = 8 cm²

Therefore, the given statement is false.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 12

**NCERT Exemplar Class 9 Maths Exercise 12.2 Problem 2**

## The area of ∆ ABC is 8 cm² in which AB = AC = 4 cm and ∠A = 90º. Is the given statement true or false and justify your answer.

**Summary:**

The given statement “The area of ∆ ABC is 8 cm² in which AB = AC = 4 cm and ∠A = 90º” is true

**☛ Related Questions:**

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