Question
Download Solution PDFThe sum of all the three sides of an equilateral triangle is 66√3 cm. What is the height (in cm) of this triangle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The sum of all three sides of an equilateral triangle = 66√3 cm
Formula used:
For an equilateral triangle:
Perimeter = 3 × Side
Height = (√3/2) × Side
Calculation:
Perimeter = 3 × Side
⇒ 66√3 = 3 × Side
⇒ Side = (66√3) / 3
⇒ Side = 22√3 cm
Height = (√3/2) × Side
⇒ Height = (√3/2) × 22√3
⇒ Height = (√3 × √3 × 22) / 2
⇒ Height = (3 × 22) / 2
⇒ Height = 66 / 2
⇒ Height = 33 cm
∴ The correct answer is option (4).
Last updated on Jul 16, 2025
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