Question 3 — IGCSE 0580 May/June 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Trigonometry · Right angled triangles. Worth 13 marks.
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Question text
3
C
NOT TO
SCALE
(x+3)cm
A (2x+5)cm B
The diagram shows a right-angled triangle ABC.
(a) (i) The area of the triangle is 60cm2.
Show that 2x2+11x-105 = 0.
[3]
(ii) Solve by factorisation.
2x2+11x-105 = 0
x = ....................... or x = ....................... [3]
(iii) Calculate angle ACB.
................................................. [3]
© UCLES 2023 0580/42/M/J/23
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(b) Triangle ABC is similar to triangle DEF.
Triangle DEF has an area of 93.75cm2.
(i) Find the size of the smallest angle of triangle DEF.
................................................. [1]
(ii) Find the length of the shortest side of triangle DEF.
............................................ cm [3]
© UCLES 2023 0580/42/M/J/23 [Turn over
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