What is the height of equilateral triangle whose perimeter is 25√3 c

1.	What is the height of equilateral triangle whose perimeter is 25√3 cm?1. 7.5 cm2. 12.5 cm3. 22.5 cm4. 25 cm
Answer» Correct Answer - Option 2 : 12.5 cm According to the given question Given: Perimeter of equilateral triangle is 25√3 cm Formula used/Concept Used: Height of equilateral triangle = a√3/2 Where ‘a’ is the side of equilateral triangle Perimeter of equilateral triangle = 3 × side Calculation: The perimeter of equilateral triangle is 25√3 cm ⇒ Side = 25√3/3 cm ⇒ a = 25√3/3 cm Now, the height of equilateral triangle = (25√3/3) × (√3/2) = 12.5 cm ∴ The height of equilateral triangle is 12.5 cm

What is the height of equilateral triangle whose perimeter is 25√3 cm?1. 7.5 cm2. 12.5 cm3. 22.5 cm4. 25 cm

Answer» Correct Answer - Option 2 : 12.5 cm

According to the given question

Given:

Perimeter of equilateral triangle is 25√3 cm

Formula used/Concept Used:

Height of equilateral triangle = a√3/2

Where ‘a’ is the side of equilateral triangle

Perimeter of equilateral triangle = 3 × side

Calculation:

The perimeter of equilateral triangle is 25√3 cm

⇒ Side = 25√3/3 cm

⇒ a = 25√3/3 cm

Now, the height of equilateral triangle = (25√3/3) × (√3/2) = 12.5 cm

∴ The height of equilateral triangle is 12.5 cm

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