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Question 18
Here is a triangle. Work out the area of the triangle. Give your answer correct to 3 significant figures. The triangle has sides of lengths 11.2 cm and 4.3 cm wit... show full transcript
Step 1
Answer
To find the area of the triangle, we can use the formula:
ext{Area} = rac{1}{2} imes a imes b imes ext{sin}(C)where:
Substituting these values into the formula:
ext{Area} = rac{1}{2} imes 11.2 imes 4.3 imes ext{sin}(118°)First, calculate the sine value:
Now substitute this value back into the equation:
ext{Area} = rac{1}{2} imes 11.2 imes 4.3 imes 0.8290 approx 25.9 \, ext{cm}^2
Finally, rounding this to three significant figures gives:
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