Question

The picture shows an equilateral triangle cut into halves by a line through a vertex.

i. What is the perimeter of a part?

ii. How much less than the perimeter of the whole triangle is this?

Answer 1

The sides of the new triangle is 2 cm,

1 m, \(\sqrt{2}^2-1^2\) m

(i) Perimeter of one of the triangle 

= 2 + 1 + \(\sqrt{3}\) = 3 + 1.73 = 4.73 m

(ii) Perimeter of the whole triangle 

= 2 + 2 + 2 = 6m

Less in the perimeter

= 6 – 4.73 = 1.27m