Question

the height of an equilateral triangle is 150cm and its perimeter is 36cm.find the area of the triangle

Answer 1

Answer:

900 sq.cm

Step-by-step explanation:

For an equilateral triangle, all sides are equal.

∴ Length of one side = Perimeter / 3 = 36/3 cm = 12 cm.

Now, area of triangle = Base * Height / 2.

Here, base = 12 cm and height = 150 cm.

∴ Area = 12 * 150 / 2 sq.cm. = 900 sq.cm.

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Answer 2

Answer:

Step-by-step explanation:

Perimeter of the equilateral triangle = 36cm

Sides of the triangle = 36/3 = 12cm

Height of the equilateral triangle = 15cm

Area of the equilateral triangle = ½ × base × height

= ½×12×15

= 180cm²/2

= 90cm²

(I changed the given height i.e150cm into 15cm because it's not possible to have such a long height with 12cm of sides.)

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