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
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