B

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A

Triangle ABC is right angled at A. The area of triangle is = ½bh. The area of the triangle is 3/2x^2 + 10x + 16cm^2 where x is a positive integer.
The area of the triangle ABC can be written in the form 1/2 (x+a)(bx + c) . The value of a+b+c is____________.

I don't understanding, PLease kindly help me solve this?

2 answers

3/2 x^2 + 10x + 16 = 1/2 (x+4)(3x+8)

This is just an exercise in factoring. Now you can easily read off a,b,c
Thank you!