The length of the base and altitude of a triangle is 152 cm and 38 cm respectively. If the area of a square is double the area of this triangle, find the length of the square?

Answer: 76 cm
Explanation

Given:

Base of triangle = 152 cm

Altitude of triangle = 38 cm

Area of triangle = 0.5 * base * altitude

= 0.5 * 152 * 38

= 2888 cm²

Area of square = 2 * area of triangle

= 2 * 2888

= 5776 cm²

Side of square = √area

= √5776

= 76 cm

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