Question

This is a right angled triangle I really need someone's help rn​

Answer 1

Answer:

i)

Step-by-step explanation:

i) As it is a right-angle triangle,

$(x+2)^2+(4x)^2=(2x+7)^2\\x^2+4x+4+16x^2=4x^2+28x+49\\x^2+4x+4+16x^2-4x^2-28x-49=0\\13x^2-24x-45=0\\13x^2-39x+15x-45=0\\13x(x-3) + 15(x-3) =0\\(13x+15)(x-3)=0$

ii)From the above equation we get, that x=3 is a solution

Hence, Base= 4x=12

Altitude=5

Hence, Area of a triangle = Altitude X Height X 1/2

= 12 X 5 X 1/2

=30 cm^2