Question

ABC is an equilateral triangle with base AB,D is a point on AB such that AB=5 and BD=3.What is the ratio of area of triangle ABC and area of triangle ADC

Answer 1

25:5=5:1 is the ratio of area of triangle ABC &ADC

Answer 2

Area of equilateral triangle = root 3/4 ×side ^2
= root 3 / 4 × 25
= root 3 × 6.25
= 6.25 root 3 sq.cm
Area of triangle ADC = 1/2 × Base × height
= 1/2 × 2 × 5
= 5 sq. cm
ratio of area of triangle ABC and ADC
= 6.25 root 3 : 5