Question

the height of a right triangle is 7 cm less than its base if hypotenuse
in 20 m form the quadratic equation to find the base of the triangle​

Answer 1

Let base of triangle be x

Height of base = x-7 cm

Hypotenuse = 20m

Now by pythagoras theorem

(Base)^2 +(height )^2=(Hypotenuse)^2

(x)^2 +(x-7)^2 =(20)^2

x^2+×^2+49-14x =400

2x^2-14x =351

2x^2-14x-351 =0