Question

Math solve and explain ❗

Answer 1

b = 16cm, h = 12cm

Explanation:

`A=(bh)/(2)`

`2A=bh`
`A=96, h=b+4`

`2(96)=b(b+4)`

`192=b^(2) +4b`

`b^(2) +4b-192=0`

Factor:

`(b+16)(b-12)=0`

`b-12=0\\b=12`

`h=b+4=12+4\\h=16`

Hope this helps

Answer 2

Altitude = 16

Base = 12

Explanation:

`A=(1)/(2) bh`

`96=(1)/(2)bh`

`48=bh`

The only information we know besides the area of the triangle is that the altitude is 4 cm greater than the base.

To do this, solve for the factors of 48

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

Again, the altitude is 4 cm greater than the base. So the altitude is 16 and the base is 12.

To know that the answer is correct, we can multiply 16 by 12 then divide the product by 2 and the answer should be the area of the triangle which is 96