(a(i))[2]
$ABC$ is a triangle with $AC=6\text{ cm}$ and $BC=9\text{ cm}$. $AB$ is shown below. Using only a ruler and a pair of compasses, construct triangle $ABC$.
(a(ii))[1]
Measure the size of $\angle BAC$.
(b)[2]
A rectangular field measures $220\text{ m}$ by $350\text{ m}$, and each side length is correct to the nearest $10$ metres. Calculate the upper bound for the area of the field.
(c(i))[2]
Find $\angle PTS$, and give a reason for your answer.
(c(ii))[1]
Find the value of $\angle PTQ$.
(c(iii))[3]
Complete the statements below to demonstrate that triangle $PQT$ is congruent to triangle $RTQ$. 1. Angle $PTQ =$ Angle ________ 2. Angle $PQT =$ Angle ________ 3. __________________________ Triangle $PQT$ is congruent to triangle $RTQ$. Congruency condition ____________________.