Home
Class 9
MATHS
A traffic signal board, indicating 'SCH...

A traffic signal board, indicating 'SCHOOL AHEAD' , is an equilateral triangle with side a. Find the area of the signal board, using Heron's formula. If its perimeter is 180 cm, what will be the area of the signal board?

Text Solution

AI Generated Solution

To find the area of the equilateral triangle traffic signal board using Heron's formula, let's go through the solution step by step. ### Step 1: Understand the properties of the equilateral triangle An equilateral triangle has all three sides equal. If we denote the length of one side as \( a \), then the perimeter \( P \) of the triangle can be expressed as: \[ P = a + a + a = 3a \] ...
Promotional Banner

Topper's Solved these Questions

  • HERONS'S FORMULA

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 12a|11 Videos

  • HERONS'S FORMULA

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 12b|10 Videos

  • HERONS'S FORMULA

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise|11 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE|36 Videos

  • INTRODUCTION TO EUCLID'S GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Each side of an equilateral triangle measure 10 cm. Find the area of the triangle .

The side of an equilateral triangle is 3.5 cm. Find its perimeter

Find the area of an equilateral triangle whose side is a cm.

Find the area of an equilateral triangle, whose one side is a cm.

The side of an equilateral triangle is increasing at the rate of 10cm/sec . Find the rate of increase of its perimeter.

The side of an equilateral triangle is 6sqrt(3) cm. Find the area of the triangle. [Take sqrt(3)=1.732 ]

The length of the sides of a triangle are in the ratio 3 : 4 : 5 . Find the area of the triangle if its perimeter is 144 cm.

The sides of a triangle are in the ratio 13 : 14 : 15 and its perimeter is 84 cm . Find the area of the triangle .

One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.

The area of an equilateral triangle is 36sqrt(3) sq. cm. Find its perimeter.