Area Of An Equilateral Triangle – Multiple Choice Questions Quiz

Question 1:What is the formula for the area of an equilateral triangle?

(A) (√3 / 4) × side²
(B) (1/2) × base × height
(C) (side × side) / 2
(D) base × height

Question 2:If the side length of an equilateral triangle is 8 cm, what is its area?

(A) 12√3 cm²
(B) 16√3 cm²
(C) 20√3 cm²
(D) 24√3 cm²

Question 3: A triangle has an area of 9√3 cm². What is its side length?

(A) 3 cm
(B) 4 cm
(C) 6 cm
(D) 9 cm

Question 4:If the side length of an equilateral triangle is doubled, how does its area change?

(A) Doubles
(B) Triples
(C) Remains same
(D) Increases 4 times

Question 5:What is the height of an equilateral triangle with a side length of 10 cm?

(A) 5 cm
(B) 5√3 cm
(C) 10 cm
(D) 10√3 cm

Question 6:The area of an equilateral triangle is 25√3 cm². What is its side length?

(A) 5 cm
(B) 10 cm
(C) 15 cm
(D) 20 cm

Question 7:If the side of an equilateral triangle is increased by 3 times, how many times does the area increase?

(A) 3 times
(B) 6 times
(C) 9 times
(D) 12 times

Question 8:What is the area of an equilateral triangle with a side length of 12 cm?

(A) 24√3 cm²
(B) 30√3 cm²
(C) 32√3 cm²
(D) 36√3 cm²

Question 9:A triangle has a height of 7√3 cm. What is its side length?

(A) 7 cm
(B) 14 cm
(C) 21 cm
(D) 28 cm

Question 10:The area of an equilateral triangle is 4√3 cm². What is its side length?

(A) 2 cm
(B) 4 cm
(C) 6 cm
(D) 8 cm