Question 1
3 marksThe diagram shows triangle .
Diagram NOT accurately drawn
Work out the length of .
Give your answer correct to 3 significant figures.
....................................................... cm
Sine, Cosine Rule & Area of Triangles Practice Questions
Question 2
2 marksIn triangle PQR, PQ=7.2 cm, QR=9.5 cm and angle PQR=118∘.
Work out the area of triangle PQR.
Give your answer correct to 1 decimal place.
....................................................... cm2
Question 0
7 marksA boat sails from a harbour P on a bearing of 040∘ for 15 km to a buoy Q.
It then sails from Q on a bearing of 125∘ for 22 km to a lighthouse R.
You may find it helpful to draw a diagram.
(a)
Work out the distance PR.
Give your answer correct to 3 significant figures.
....................................................... km
(b)
Work out the bearing of R from P.
Give your answer correct to 1 decimal place.
....................................................... ∘
Question 0
5 marksIn triangle ABC, AB=9.1 cm, BC=12.4 cm and AC=16.8 cm.
(a)
Work out the size of angle ABC.
Give your answer correct to 1 decimal place.
....................................................... ∘
(b)
Work out the area of triangle ABC.
Give your answer correct to 3 significant figures.
....................................................... cm2
Question 0
5 marksABC and ACD are triangles.
Diagram NOT accurately drawn
Work out the length of CD.
Give your answer correct to 3 significant figures.
....................................................... cm
Question 0
6 marksIn triangle PQR, PQ=13 cm and angle PQR=63∘.
The area of triangle PQR is 42 cm2.
(a)
Work out the length of QR.
Give your answer correct to 3 significant figures.
....................................................... cm
(b)
Work out the length of PR.
Give your answer correct to 3 significant figures.
....................................................... cm
Question 0
3 marksIn triangle ABC, AB=9 cm and BC=14 cm.
The area of triangle ABC is 50 cm2.
Angle ABC is obtuse.
Work out the size of angle ABC.
Give your answer correct to 1 decimal place.
....................................................... ∘
Question 0
5 marksABCD is a parallelogram.
AB=2x cm, BC=3x cm and angle ABC=120∘.
Diagram NOT accurately drawn
Prove that AC2:BD2=19:7.
Question 0
5 marksThe diagram shows triangle PQR.
PQ=(2x−1) cm, QR=(x+4) cm and angle PQR=150∘.
The area of triangle PQR is 15 cm2.
Diagram NOT accurately drawn
(a)
Show that 2x2+7x−64=0.
(b)
Work out the length of QR.
Give your answer correct to 3 significant figures.
....................................................... cm
Question 0
7 marksThe diagram shows triangle ABC.
AB=10 cm, BC=13 cm. D is the point on AC with AD=3 cm and DC=4 cm.
Diagram NOT accurately drawn
(a)
Work out the length of BD.
Give your answer correct to 3 significant figures.
....................................................... cm
(b)
Work out the area of triangle BCD.
Give your answer correct to 3 significant figures.
....................................................... cm2