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
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.
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