Solutions to this equation by accurate drawing will not be accepted. ABC is a triangle with vertices

Question

Solutions to this equation by accurate drawing will not be accepted.

$ABC$ is a triangle with vertices $A\ (0,\ h)$, $B\ (2h, -2)$ and $C\ (7,\ 5)$, where $h$ is a positive integer. The area of the triangle is 20 units$^2$.

Show that $h = 2$.[3]
Find the equation of the perpendicular bisector of $AB$.[3]
Explain why triangle $ABC$ is isosceles.[2]

Accepted Answer

(a) $h=2$ (b) $y=x-2$ (c) $CA=CB$, so $\triangle ABC$ is isosceles.

2025 MSHS PRELIMS P1 Q11

2025 MSHS PRELIMS P1 Q11

Solution:

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