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1. I honestly don't know where I keep going wrong with this question so if someone could go through it step by step that would be great!

A triangle has vertices (5,0),(q,0) and (10,-1) where q > 5
Given that the area of the triangle is 4, find the value of q
2. Hi,

Look at it logically nd work it out. Vertices mean first x co-ordinate, then y co-ordinate (best to draw diagram to visulaize (see below).

(5, 0) means x = 5, y =0 (black cross in diag)
(10, -1) means x = 10, y = -1 (red cross in diag) (-1 means this point (vertex in case of triangle = one corner, plural = vertices) is below the x axis.
(q, 0) means x we don't know, y = 0 i.e. the point is on x axis where vertical value is zero(same as first vertex [point]) (assume somewhere on x axis [let us say at x = 8 1/2 simply to allow us to draw a diagram) (green cross (hypothetical = imaginary) on diag

Then follow equation of area of triangle as in pic below - should be fairly straightforward to understand - if still not sure, send me a mess - happy to make simper.

Thanks = hope this helps!
3. Actual triangle is purple one now that we know that q = 13

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Updated: October 10, 2016
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