RS Aggarwal & V Aggarwal - Mathematics

Book: RS Aggarwal & V Aggarwal - Mathematics

Chapter: 7. Areas

Subject: Mathematics - Class 9th

Q. No. 7 of CCE Questions

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7

Each side of an equilateral triangle is 10 cm long. The height of the triangle is –

We have,

Each side of the equilateral triangle = 10 cm


We know that,


In an equilateral triangle altitude divides its base into 2 equal parts



Let the height be h


Now, by using Pythagoras theorem


102 = 52 + h2


100 = 25 + h2


h2 = 100 – 25


h2 = 75


h =


h = 5 cm


Hence, height of the triangle is 5 cm


Thus, option (b) is correct

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