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.
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 + x2
⇒ 169 = x2 – 14x + 49 + x2
⇒ x2 – 7x – 60 = 0