Question

the height of a right triangle is 7 cm less than it base if the hypotenuse is 13 cm from the quadratic equation to find the base of the triangle​

Answer 1

Answer:

12 cm

Step-by-step explanation:

let the base be x

therefore height is x-7

given hypotenuse = 13cm

13^2 = x^2 + (x-7)^2

169 = x^2 + x^2 - 14x + 49

2x^2 - 14x + 49 - 169 = 0

2x^2 - 14x - 120 =0

x^2 - 7x - 60 =0

x^2 + 5x - 12x - 60 = 0

x(x+5) - 12(x+5) = 0

(x+5)×(x-12)=0

x = -5 OR 12

since the value is of a positive quantity x= 12cm

Base = 12cm ANSWER

Height = 12-7 = 5cm. ANSWER