Question

In a school girls were asked to perpare Rangoli in triangular shape during visit by directors of education. Dimensions of the triangle were 52cm; 56 cm and 60 cm. Find the area covered in the rangoli. What values are depicted here?

Answer 1

To find the area of a triangle with sides 52 cm, 56 cm, and 60 cm, use Heron's formula, which results in approximately 1264 square centimeters. This school activity highlights the value of cultural traditions.

Step-by-step explanation:

To find the area of a triangle with side lengths of 52cm, 56cm, and 60cm, we can use Heron's formula. This formula allows us to calculate the area of a triangle when we know all three of its sides. First, we calculate the semi-perimeter of the triangle (s), which is half the sum of the side lengths:

s = (a + b + c) / 2

Substitute the given dimensions:

s = (52 + 56 + 60) / 2

s = 168 / 2

s = 84 cm

Now, we apply Heron's formula to find the area (A):

A = √(s(s - a)(s - b)(s - c))

Substitute the values for s, a, b, and c:

A = √(84(84 - 52)(84 - 56)(84 - 60))

A = √(84 × 32 × 28 × 24)

A = √(1596672)

A ≈ 1264 cm²

The area covered by the rangoli is approximately 1264 square centimeters. The activity of preparing a Rangoli in school emphasizes the value of cultural traditions and the importance of students' participation in cultural events.