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A teacher drew a triangle of 8cm height and 18cm base. Now he wants to draw a square whose area must be the twice that of the triangle. Calculate the length of the each side of the square that he has to draw.

Answer :

Final answer:

First, you compute the area of the given triangle, which is 72 cm2. The square's area, according to the question, should be twice that of the triangle's, which means 144 cm2. Therefore, the length of each side of the square must be 12 cm.

Explanation:

To start with, let's first find the area of the triangle. The formula to calculate the area of a triangle is 0.5 x Base x Height. Given that, the base is 18 cm and the height is 8 cm, the area of the triangle is 0.5 * 18 * 8 = 72 cm2.

According to the question, the area of the square needs to be twice the area of the triangle, which is 2 * 72 = 144 cm2.

The area of a square is calculated using the formula (Side)2, where 'Side' refers to the length of each side of the square. To find out the side length, we take the square root of the area which is √144 = 12 cm.

Therefore, the length of each side of the square the teacher needs to draw is 12 cm.

Learn more about Triangle and Square Areas here:

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