Area of a Triangle Using Heron’s Formula

Question 1: What is Heronโ€™s formula used for?

(A) Finding the area of a triangle
(B) Finding the perimeter of a triangle
(C) Finding the area of a rectangle
(D) Finding the volume of a triangle

Question 2: What is the semi-perimeter (s) of a triangle with sides 5 cm, 7 cm, and 8 cm?

(A) 9 cm
(B) 10 cm
(C) 11 cm
(D) 12 cm

Question 3: Heronโ€™s formula for the area of a triangle is:

(A) A=s(sโˆ’a)(sโˆ’b)(sโˆ’c)
(B) A=21โ€‹ร—bร—h
(C) A=s(sโˆ’a)(sโˆ’b)(sโˆ’c)โ€‹
(D) A=ฯ€r2

Question 4: A triangle has sides 6 cm, 8 cm, and 10 cm. What is its semi-perimeter?

(A) 10 cm
(B) 11 cm
(C) 9 cm
(D) 12 cm

Question 5: If a triangle has sides 3 cm, 4 cm, and 5 cm, what is its area using Heronโ€™s formula?

(A) 5
(B) 6
(C) 7
(D) 8

Question 6: Which of the following is NOT required for Heronโ€™s formula?

(A) Side lengths
(B) Semi-perimeter
(C) Height
(D) Triangle type

Question 7: A triangle has sides 13 cm, 14 cm, and 15 cm. What is its semi-perimeter?

(A) 20 cm
(B) 21 cm
(C) 22 cm
(D) 23 cm

Question 8: What is the first step in using Heronโ€™s formula?

(A) Find the base and height
(B) Find the type of triangle
(C) Multiply all side lengths
(D) Calculate the semi-perimeter

Question 9: A triangle has sides 9 cm, 12 cm, and 15 cm. What is its area?

(A) 54 cmยฒ
(B) 45 cmยฒ
(C) 50 cmยฒ
(D) 60 cmยฒ

Question 10: Why is Heronโ€™s formula useful?

(A) Only works for right triangles
(B) Requires angles to be known
(C) Works for any triangle when sides are known
(D) Only works for equilateral triangles