The area of the triangle with sides of 25 cm, 25 cm, and 48 cm can be calculated using Heron's formula and is found to be 168 cm². If needed in square meters, with three significant figures, the area is 1.68 m².
The question is asking for the area of a triangle with sides measuring 25 cm, 25 cm, and 48 cm.
However, we can use Heron's formula to find the area when we know all three sides of the triangle.
First, we calculate the semi-perimeter (s) of the triangle:
s = 1/2 (a + b + c)= 1/2 (25 cm + 25 cm + 48 cm) = 1/2 (98 cm) = 49 cm
Then we apply Heron's formula:
Area = √[s × (s - a) × (s - b) × (s - c)]
Area = √[49 × (49 - 25) × (49 - 25) × (49 - 48)]
Area = √[49 × 24 × 24 × 1]
Area = √[28224]
Area = 168 cm²
Thus, the area of the triangle is 168 cm², which is already expressed in square centimeters. If you need to convert this to square meters, you would use the conversion factor (1 m = 100 cm) and calculate as follows:
Area in square meters = 168 cm² × (1 m / 100 cm) × (1 m / 100 cm) = 1.68 m²
Since we are looking for three significant figures, the area in square meters is 1.68 m².
The probable question may be:
What is the area of this triangle?
The side are 25cm,25cm and 48 cm