Question

To spread awareness about traffic rules, Navkis Educational Centre Mounts a traffic signal board, indicating „SCHOOL AHEAD‟, in the shape of an equilateral triangle with side “a”. Then answer the following questionsi) If the perimeter of triangle is 180cm, then find the side of triangle. a. 40cm b. 60cm c. 50cm d. 70cm ii) Find the value of semi perimeter “S”. a. 70cm b. 80cm c. 90cm d. 100cm iii) If a, b and c are sides of triangle, then write the formula to find the perimeter. a.2s = a + b+ c b. 3s = a + b+ c c. s = a + b+ c d. 4s = a + b+ c iv) Find the area of the signal board in the above figure. a.300√ cm2 b. 600√ cm2 c. 900√ cm2 d. 800cm2 v) Which message is provided by the above question? a. Charity b. To help the poor c. Awareness about the traffic rules d. Entertainment​

Answer 1

Answer:

Given,

A=70cm

B=80cm

C=90cm

Semi-perimeter =

2

(70+80+90)

=

2

240

=120cm

Area of triangle =

s(s−a)(s−b)(s−c)

=

120(120−70)(120−80)(120−90)

=

120×50×40×30

=

4×3×10×5×10×3×10×4×10

=4×3×100

5

=1200×2.23

=1200×

100

223

=2676cm

2

∴ Area of triangle =2676cm

2