Shape and Space 10

3 marks · Easy

The triangle below has sides PQ = 5.0 cm and QR = 6.0 cm, and angle PQR = 60°.

Triangle PQR (not to scale)

(a)

Write down the lengths of the two sides and the angle needed to calculate the area of triangle PQR using trigonometry.

[1 mark]

(b)

Calculate the area of triangle PQR, giving your answer to 2 decimal places.

[2 marks]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

(a) PQ = 5.0 cm, QR = 6.0 cm, included angle 60° · must show both sides and the included angle identified

(b) 13.0 cm^2 · must show correct calculation using area formula

Show mark scheme and worked solution

Marking points

B1 (a) · 1 mark · Correctly lists two sides and the included angle used for the area calculation.

M1 (b) · 1 mark · Applies the formula .

A1 (b) · 1 mark · Calculates area correctly as 13.0 cm^2 (2d.p.)

Worked solution

a) The two sides are PQ = 5.0 cm and QR = 6.0 cm, with the included angle 60°.

b) Use the formula: (2 d.p.)