Question

In δpqr, the obtuse angle is 105°, and the shorter sides measure 4 and 7 units. triangle p q r is shown. rounded to the nearest tenth, what is the area of δpqr? area = square units

Answer 1

The area of triangle PQR is 14 square units.

Step-by-step explanation:

To find the area (A) of triangle PQR, you can use the formula:

Area = (1/2) * base * height

In a triangle, the shorter sides are usually considered the base and height. Given that the shorter sides are 4 units and 7 units, you can use these values in the formula.

Area = (1/2) * 4 * 7

Area = (1/2) * 28

Area = 14

So, the area of triangle PQR is 14 square units.

Answer 2

The area of triangle ΔPQR with an obtuse angle of 105° and side lengths of 4 and 7 units is approximately 9.8 square units, calculated using the formula for the area of an obtuse triangle.

Step-by-step explanation:

In the given triangle ΔPQR, the obtuse angle is 105° and the shorter sides measure 4 and 7 units. To find the area of this triangle, we can use the formula for the area of an obtuse triangle, where Area = 1/2 * product of the lengths of two sides * sin of the included angle. As the angle between the sides is 105°, it is obtuse.

Using the formula, Area = 1/2 * 4 * 7 * sin(105°).

Performing the calculations, the area ofΔPQR is approximately 9.8 square units, rounded to the nearest tenth.

Learn more about Area of an Obtuse Triangle