Question

Which expression gives the area of triangle qrs? a right triangle rsq with base rq of 9, hypotenuse rs of 15, and opposite qs of 11 with an angle at r of 20 degrees. a. 1 2 ⁢ ( 9 ) ⁢ ( 15 ) ⁢ cos ⁡ ( 20 ∘ ) b. 1 2 ⁢ ( 9 ) ⁢ ( 15 ) ⁢ sin ⁡ ( 20 ∘ ) c. 1 2 ⁢ ( 11 ) ⁢ ( 15 ) ⁢ sin ⁡ ( 20 ∘ ) d.

Answer 1

In a right triangle, the area is given by 1/2*Base*Height. In this case, Base is 9 units, and Height is 11 units, so the area would be 1/2 * (9) * (11). None of the options provided in the question are correct.

The area of a right triangle can be calculated using the formula, Area = 1/2 * Base * Height. In your case, the base, RQ, is 9 units and the height, QS, is 11 units. As we do not need the hypotenuse or the angle to calculate the area for a right triangle, we can ignore RS and angle R in this case.

So, the accurate expression to calculate the area of triangle QRS is 1/2 * (9) * (11). Among the given options, none of them is accurate as all of them unnecessarily consider either the hypotenuse or the angle, which are not required in the calculation of the area of a right triangle.

Answer 2

In a right triangle, the area is given by 1/2*Base*Height. In this case, Base is 9 units, and Height is 11 units, so the area would be 1/2 * (9) * (11). None of the options provided in the question are correct.

Step-by-step explanation:

The area of a right triangle can be calculated using the formula, Area = 1/2 * Base * Height. In your case, the base, RQ, is 9 units and the height, QS, is 11 units. As we do not need the hypotenuse or the angle to calculate the area for a right triangle, we can ignore RS and angle R in this case.

So, the accurate expression to calculate the area of triangle QRS is 1/2 * (9) * (11). Among the given options, none of them is accurate as all of them unnecessarily consider either the hypotenuse or the angle, which are not required in the calculation of the area of a right triangle.

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