CASE STUDY QUESTIONS. A floral design on a floor is made up of 12 tiles of equal area and comprises two colours - white and brown. The sides of each triangular tile are 25 cm, 17 cm and 12 cm.There are 22 such designs on the floor.Using Heron's formula answer the following question..What is the area of a single triangular tile?
Answers
Answered by
128
>A floral design on a floor ...
Given:
⇒a=35cm,b=28cm,c=9cm
⇒Semi perimeter of tile =2a+b+c
⇒Semi perimeter of tile =235+28+9=36cm
⇒Area of Δ=s(s−a)(s−b)(s−c)
⇒=36(36−35)(36−28)(36−9)=36×1×8×27
⇒=36×2.45=88.2 cm2
⇒Area of total 16 tiles =16×88.2=1411.2 cm2
Similar questions