Q12 of 69 Page 238

If the area of the equilateral triangle is cm2, find its perimeter.

Given,


Area of the equilateral triangle = 36cm2


Let us assume a be the length of the side of an equilateral triangle


We know that,


Area of an equilateral triangle = sq units


36 =


a2 =


a2 = 36 × 4


a2 = 144


a = 12 cm


We know that,


Perimeter of an equilateral triangle = 3 × a


= 3 × 12


= 36 cm


Hence, perimeter of the given equilateral triangle is 36 cm.


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The base of an isosceles triangle measures 80cm and its area is 360cm2 . Find the perimeter of the triangle.

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The perimeter of an isosceles triangle is 42cm and its base is times, each of the equal sides.

Find:


(i) The length of each side of the triangle


(ii) The area of the triangle


(iii) The height of the triangle.

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If the area of the equilateral triangle is cm2, find its height.

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The base of a right – angles triangle measures 48cm and its hypotenuse measures 50cm. Find the area of the triangle.