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WJEC GCSE Maths

Topic questions Pure mathematics Area of a triangle using sine

Area of a triangle using sine

12 questions · 75 marks · about 1.5 hours

Area of a triangle using sine questions

TopicArea of a triangle using sine

WJEC 3300 Area of a triangle using sine 12 questions

Unit 2: Calculator-allowed June 2024 Higher tier, Question 14 2 marks

Triangle A B C has sides A B = 24·1 cm and A C = 17·9 cm, as shown below.

B A Cmaths symbol = 37°.

Figure for question 14

Calculate the area of the triangle A B C.

[2]
Reveal mark scheme Mark scheme for question 14

Unit 2: Calculator-allowed November 2023 Higher tier, Question 18 8 marks

Figure for question 18
(a)

Calculate the length of CE.

You must show all your working.

[6]
Reveal mark scheme Mark scheme for question 18(a)
(b)

Hence, calculate the area of triangle CGE.

[2]
Reveal mark scheme Mark scheme for question 18(b)

Unit 2: Calculator-allowed November 2022 Higher tier, Question 14 4 marks

DE is the tangent to the circle at point A, as shown below.

BC = 7 cm and AC = 13 cm. BADmaths symbol = 68° and CAEmaths symbol = 80°.

Figure for question 14
(a)
Figure for question 14
[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Calculate the area of the triangle ABC.

[2]
Reveal mark scheme Mark scheme for question 14(b)

Unit 2: Calculator-allowed June 2022 Higher tier, Question 11 6 marks

The diagram shows a triangle ABC and a circle with centre A.

The points B and D lie on the circumference of the circle.

The length of the line AC is 27 cm. The area of triangle ABC is 112 cm2.

Figure for question 11

Calculate the area of the shaded region.

[6]
Reveal mark scheme Mark scheme for question 11

Unit 2: Calculator-allowed November 2021 Higher tier, Question 14 8 marks

Figure for question 14
(a)

Show that

[3]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Solve the equation

You must use an algebraic method and show all your working.

Give your answers correct to 2 decimal places.

[3]
Reveal mark scheme Mark scheme for question 14(b)
(c)

Evaluate the length of AC.

You must justify any decision that you make.

[2]
Reveal mark scheme Mark scheme for question 14(c)

Unit 2: Calculator-allowed November 2017 Higher tier, Question 17 8 marks

ABCmaths symbol represents the sector of a circle with radius 7 cm and centre A, as shown below. BAC = x°, AD = 3 cm and BD = 6 cm.

Figure for question 17

Find the area of the shaded region BCD.

[8]
Reveal mark scheme Mark scheme for question 17

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