1.

The height of a right TRIANGLE IS 7 CM LESS THAN ITS BASE. If the hypotenuse is 13 cm, form the quadratic equation to find the base of the triangle.

Answer»

By Pythagoras theorem : 

Hypotenuse2 = perpendicular2 + base2 

Given, height of a right TRIANGLE IS 7 CM LESS THAN ITS BASE and the hypotenuse is 13 cm. 

Let the base be ‘x’ ⇒ 132 = (x – 7)2 + x

⇒ 169 = x2 – 14x + 49 + x2 

⇒ x2 – 7x – 60 = 0



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