Question

the height of a triangle is 7cm less than its base and its area is 9cm find the height and base of the triangle​

Answer 1

Answer:

Let the length of base be x cm

Then height = x-7 cm

Step-by-step explanation:

Now

Area of triangle = 1/2 × base × height

= 1/2 × (x) × ( x-7 )= 9

Now

x(x-7) = 18

x²-7x=18

x²-7x-18=0

Now

x²-9x+2x-18=0. By middle term splitting

x(x-9)+2(x-9)=0

(x+2)(x-9)=0

Therefore x = 9,-2

Since length can't be negative.

therefore x= 9cm

Base= 9cm

Height= (9-7)= 2cm

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