2.8. Proving congruency and calculating ratio of areas
G2. Congruence and similarity

Question

PQRS is a square. $\angle$ QTU = 45º and the ratio of PT : TQ is 1 : 2.

(a) Name a pair of congruent triangles and state your reasons. [2]

(b) Find the ratio of the area of $\triangle$ STU to the area of square PQRS. [2]

(c) Given that the area of $\triangle$ STU is 16 cm $^2$ . Find the length of the side of the square PQRS. [2]

Solution

In