Question

X, Y, and Z form the vertices of a triangle where YXZ = 70°, XY = 7.7m, and XY = 7.6m. Calculate the area of the triangle. Round your answer to 1 dp.

A. 27.2 square meters
B. 27.3 square meters
C. 27.4 square meters
D. 27.5 square meters

Answer 1

The area of the triangle with base 166 mm and height 930.0 mm is 0.0772 square meters when calculated and expressed with the proper number of significant figures.

Step-by-step explanation:

To calculate the area of a triangle with given base and height dimensions, we use the formula Area = 1/2 × base × height. In this case, we are given the base as 166 mm and the height as 930.0 mm. To express the answer in square meters, we need to convert the dimensions from millimeters to meters by dividing each by 1000 (since there are 1000 millimeters in a meter).

After conversion, the base is 0.166 meters and the height is 0.93 meters. Now, we calculate the area:

Area = 1/2 × 0.166 m × 0.93 m

Area = 0.07719 square meters

Expressed with the correct number of significant figures, the area is 0.0772 square meters, because each measurement is given to three significant figures.