The sides of a triangle are 7 cm, 24 cm, and 25 cm. What is the area of this triangle?
84 cm2
We can use Heron's formula to find the area of the triangle:
Area = √[s(s - a)(s - b)(s - c)],
where s is the semi-perimeter and a, b, and c are the sides of the triangle.
Here, a = 7 cm, b = 24 cm, and c = 25 cm. First, we calculate the semi-perimeter:
s = (7 + 24 + 25) / 2 = 56 / 2 = 28 cm
Now, substitute the values into Heron's formula:
Area = √[28(28 - 7)(28 - 24)(28 - 25)] = √[28 * 21 * 4 * 3] = √[7056] = 84 cm2
The area of the triangle is 84 cm2.
Important Questions from Mensuration
The areas of three adjacent faces of a cuboidal tank are 3 m 2, 12 m 2 and 16 m 2. the capacity of the tank, in litres, is:
Volume of a cuboid is 4800 cm 3. If the height of this cuboid is 20 cm, then what will be the area of the base of cuboid ?
Two similar cubes have heights of 8 cm and 12 cm, respectively. If the capacity of the smaller cube is 80 cm 3, what is the capacity of the bigger cube (in cm 3)?
Three circles of radius 7 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
Three circles of radius 6 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
