Algebra In a Triangle Formula, Solve for “x”

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[vocal quarry]

@summer steeple you know the formula for area on triangle?

[summer steeple]

A=1/2BH

[vocal quarry]

apply it

area is 7

given in the question

and base and height are in variable form

[summer steeple]

Ah yes

[vocal quarry]

but can you solve quadratic equations?

[summer steeple]

7=1/2(2x)(2x-5)

[vocal quarry]

yes

[summer steeple]

I can use the formula or =0 way

[vocal quarry]

yeah

so you can solve it right?

[summer steeple]

Yeah lemme do it now

Ok so i times everything out to get a quadratic of 4x^2 -10x-14=0

And solve it

[vocal quarry]

yeah ig

[summer steeple]

X=-1/x=3.5

I assume it cant be a negative number

[vocal quarry]

yes

[summer steeple]

So x=3.5

[vocal quarry]

because its length

[vocal quarry]

yes

[summer steeple]

Thank you! I have prelims soon and these questions are worth a alot of marks

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