Question
Download Solution PDFFind the area of an isosceles triangle whose base is 54 cm long and each equal side is 45 cm long.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The area of an isosceles triangle whose base is 54 cm long and each equal side is 45 cm long.
Formula used:
Area of an isosceles triangle = 1/2 × b × √a2 – (b/2)2
Calculation:
Let the equal sides of an isosceles triangle be a cm and base be of b cm respectively
According to the question
Area of an isosceles triangle = 1/2 × b × √[a2 – (b/2)2]
⇒ 1/2 × 54 × √[452 – (54/2)2]
⇒ 27 × √2025 – (27)2
⇒ 27 × √(2025 – 729)
⇒ 27 × √1296
⇒ (27 × 36) cm2
⇒ 972 cm2
∴ The required area is 972 sq.cm
Last updated on Jun 11, 2025
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