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

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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

Worked Solution & Example Answer:Here is a triangle - Edexcel - GCSE Maths - Question 18 - 2022 - Paper 2

Step 1

Calculate the Area of the Triangle

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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:

  • a=11.2extcma = 11.2 \, ext{cm}
  • b=4.3extcmb = 4.3 \, ext{cm}
  • C=118°C = 118°

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:

extsin(118°)approx0.8290 ext{sin}(118°) approx 0.8290

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:

extAreaapprox25.9extcm2 ext{Area} approx 25.9 \, ext{cm}^2

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