Please help!!

[goldensirens]

The points A, B and C have co-ordinates (2,1), (b,3) and (5,5), where b>3 and

∠ABC = 90degrees. Find:i, the value of b
ii, the lengths of AB and BC
iii, the area of triangle ABC.

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[tkhunny]

It's difficult to know ow to help you. What have you tried? Did you draw a picture?

 

[mmm4444bot]

One way to find b:

Determine slope of line passing through points A and B. You will get an expression containing symbol b.

Determine the slope of perpendicular line through points B and C, and then write an equation for this line, in Point-Slope Form.

We know (from point B) that y equals 3 when x equals b. Make those two substitutions, in the equation for the line through B and C.

Solve the resulting equation for b. :cool: