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Find the length of the chord |AB| in the diagram

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Find the length of the chord |AB| in the diagram

Find the length of the chord |AB| in the diagram

  • A. 3.4cm
  • B. 3.2cm
  • C. 4.2cm
  • D. 4.3cm

QUICK ANSWER…

A

SOLUTION 

To resolve this, observe carefully that two sides (radius) were given, and the angle of the third side is also given. This means we are going to use cosine rule.

Find the length of the chord |AB| in the diagram
Find the length of the chord |AB| in the diagram...

Now for the right answer to the above question:

  1. Option A is correct.
  2. Option B is incorrect.
  3. C is incorrect.
  4. D is not the correct answer.

QUICK TIPS…

You may please note these/this:

  • There is one condition which must be satisfied before cosine rule can be applied.
  • When the lengths of two sides of a triangle and the angle opposite the third [unknown] side are given, we can directly find the length of this third side by using cosine rule.
  • This question demonstrates this.

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/culled from 2019 JAMB-UTME mathematics question 7 /

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