Date | May 2021 | Marks available | 7 | Reference code | 21M.1.SL.TZ2.6 |
Level | Standard Level | Paper | Paper 1 (without calculator) | Time zone | Time zone 2 |
Command term | Find | Question number | 6 | Adapted from | N/A |
Question
The following diagram shows triangle ABC, with AB=10, BC=x and AC=2x.
Given that cos ˆC=34, find the area of the triangle.
Give your answer in the form p√q2 where p, .
Markscheme
METHOD 1
attempt to use the cosine rule to find the value of (M1)
A1
OR A1
attempt to find (seen anywhere) (M1)
OR or right triangle with side and hypotenuse
(A1)
Note: The marks for finding may be awarded independently of the first three marks for finding .
correct substitution into the area formula using their value of (or ) and their value of (M1)
or
A1
METHOD 2
attempt to find the height, , of the triangle in terms of (M1)
OR OR A1
equating their expressions for either or (M1)
OR (or equivalent) A1
OR A1
correct substitution into the area formula using their value of (or ) (M1)
OR
A1
[7 marks]