An traffic sign board is in the shape of a triangle whose side lengthsare 122 m, 22 m and 120 m.(a) What is the semi-perimeter of the triangle?(b) Find the area of triangle (in m2)(c) Find the cost of painting it at the rate of ₹ 8 per sq m
Question
An traffic sign board is in the shape of a triangle whose side lengthsare 122 m, 22 m and 120 m.(a) What is the semi-perimeter of the triangle?(b) Find the area of triangle (in m2)(c) Find the cost of painting it at the rate of ₹ 8 per sq m
Solution
(a) The semi-perimeter of a triangle is calculated by adding all the sides of the triangle and dividing by 2.
So, semi-perimeter = (122m + 22m + 120m) / 2 = 132m
(b) The area of the triangle can be calculated using Heron's formula, which is √[s(s - a)(s - b)(s - c)], where s is the semi-perimeter and a, b, and c are the sides of the triangle.
So, Area = √[132(132 - 122)(132 - 22)(132 - 120)] = √[13210110*12] = 1320 m²
(c) The cost of painting the sign board can be calculated by multiplying the area of the sign board by the cost per square meter.
So, Cost = Area * Rate = 1320m² * ₹8/m² = ₹10560
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