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In triangle PQR, PQ=6 cm, PR=8 cm, and QR=12 cm. Calculate the area of the triangle PQR ?Question 9Answera.42m2b.16m2c.26m2d.None of these

Question

In triangle PQR, PQ=6 cm, PR=8 cm, and QR=12 cm. Calculate the area of the triangle PQR ?

Question 9

Answer

  • a. 42 m²
  • b. 16 m²
  • c. 26 m²
  • d. None of these
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Solution

The triangle PQR is a right triangle (since 12^2 = 8^2 + 6^2, which confirms the Pythagorean theorem).

The formula for the area of a triangle is 1/2 * base * height.

Here, we can take PQ as the base and PR as the height (or vice versa, it doesn't matter in multiplication).

So, the area of triangle PQR = 1/2 * PQ * PR = 1/2 * 6 cm * 8 cm = 24 cm^2

So, the correct answer is not listed in the options given. It should be 24 cm^2.

This problem has been solved

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