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Case study·Hard exam skill (4/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A designer makes a triangular frame ABCABC with a support DEDE parallel to BCBC. The support divides ABAB so that AD:DB=2:3AD:DB=2:3. The small triangular part ADEADE has area 3636 cm2^2. Separately, a circular badge on the frame has radius 99 cm and a tangent is drawn from a point 2525 cm from its centre.
Total: 5 marks

(a) Find the area of △ABC\triangle ABC. (2 marks)

(b) Find the tangent length to the circular badge. (2 marks)

(c) State one theorem used in part (a) and one theorem used in part (b). (1 mark)

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cbse-math-10.u4.t4-5.case.005

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