Shape and Space 4

4 marks · Normal

The triangle PQR is right-angled at Q. PQ = 8.0 cm and QR = 6.0 cm.

(a)

(a) Calculate the length PR.

[2 marks]

(b)

(b) Find the value of angle QPR (to the nearest degree).

[2 marks]

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(a) 10.0 cm

(b) 37 degrees

Common mistakes: Mixing up sides for angle calculation

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Marking points

M1 (a) · 1 mark · Correctly applies Pythagoras' theorem to triangle PRQ.

A1 (a) · 1 mark · Correct value for PR (to 1 decimal or integer, as appropriate) (follow-through)

M1 (b) · 1 mark · Sets up correct trigonometric ratio to find angle QPR (follow-through)

A1 (b) · 1 mark · Correct value for angle QPR (rounded to nearest degree) (follow-through)

Worked solution