Dark mode

Mathematical Methods — Question 6

QCAA 2025, Paper 1 · 1 mark

Q6 · 2025 · Technology-freeSimple familiar1 mark

QUESTION 6

Calculate the area (m

^2

) of the triangle.

Triangle with two sides of 4 m and included angle 120 degrees

(A)

8

(B)

4

(C)

8\sqrt3

(D)

4\sqrt3

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer D

1 mark

ANSWER

D —

4\sqrt3

Worked solution

Using

A=\frac12ab\sin C

with

a=b=4

and included angle

120^\circ

,

A=\frac12(4)(4)\sin120^\circ=8\frac{\sqrt3}{2}=4\sqrt3,

so option D.

Selects option D.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.

View the full QCAA marking guide

Related questions

Q1 · 2025 QCAA · Paper 1 · 1 mark
Determine the value of $\displaystyle\int_1^2 3x^2\,dx$ .
Question and worked solution
Q2 · 2025 QCAA · Paper 1 · 1 mark
State the domain of the function $y=\ln(x)$ .
Question and worked solution
Q3 · 2025 QCAA · Paper 1 · 1 mark
A council wants to survey residents about a new dog park. Which sampling method would best minimise bias in the survey?
Question and worked solution
Q4 · 2025 QCAA · Paper 1 · 1 mark
Solve for $x$ in the equation $\ln(x)+\ln(2)=\ln(8)$ .
Question and worked solution