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hope this helps you an the answer will be (a) 24cm^2
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Given:
- Base of a right-angled triangle = 8 cm
- Hypotenuse of the right-angled triangle = 10 cm
Formula Used:
→ Area of a right-angled triangle = (1/2) × Base × Height
Pythagoras Theorem implies that:
- (hypotenuse)² = (base)² + (height)²
Calculation:
The given right-triangle can be represented as follows:
For the triangle, we can write:
⇒(AC)² = (AB)² + (BC)²
⇒ (10)² = x² + (8)²
⇒ x = √(100 – 64) = 6 cm
∴ The area of the ΔABC = (1/2) × 8 × 6 = 24 cm²
So,
Option (a) 24cm² is correct
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