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ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate the area of ΔABC. - Mathematics

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Question

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate the area of ΔABC.

Sum
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Solution

Given: AB = AC = 4 cm, ∠A = 90°.

Step-wise calculation:

1. Because ∠A = 90°, AB and AC are the two perpendicular legs (base and height) of the right triangle.

2. Area of a right triangle = `1/2` × leg 1 × leg 2.

3. Substitute values: Area = `1/2` × 4 cm × 4 cm = 8 cm2.

Area of ΔABC = 8 cm2.

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Chapter 16: Mensuration - Exercise 16A [Page 315]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 16 Mensuration
Exercise 16A | Q 5. | Page 315
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