Here is a triangle - Edexcel - GCSE Maths - Question 18 - 2022 - Paper 2

To find the area of the triangle, we can use the formula:

$$Area = \frac{1}{2} a b \sin(C)$$

where:

• $a = 11.2 \text{ cm}$ (one side of the triangle),
• $b = 4.3 \text{ cm}$ (another side),
• $C = 118°$ (the angle between sides a and b).

Now, substituting the values into the formula:

$$Area = \frac{1}{2} \times 11.2 \times 4.3 \times \sin(118°)$$

Calculating the sine value:

• $\sin(118°) \approx 0.8746$.

Now, plug this into the area formula:

$$Area \approx \frac{1}{2} \times 11.2 \times 4.3 \times 0.8746$$

Calculating this:

$$Area \approx \frac{1}{2} \times 11.2 \times 4.3 \times 0.8746 \approx 25.6733\text{ cm}^2.$$

Finally, rounding to 3 significant figures gives:

$$Area \approx 25.7 \text{ cm}^2.$$