The sum of all the three sides of an equ

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The sum of all the three sides of an equilateral triangle is $15\sqrt{3}$ cm. The height of the triangle is:

Options:

7 cm

8 cm

7.5 cm

9 cm

Correct Answer:

7.5 cm

Explanation:

We know that,

Height of a equilateral triangle = √3/2 × a

Sum of three sides = 15√3

So, one side = 5√3

Now,

Height = √3/2 × a = √3/2 × 5√3

= 15/2 = 7.5