Triangle area by sides, applications to quadrilaterals MCQs
Practice Triangle area by sides, applications to quadrilaterals multiple-choice questions from Heron's Formula (Class 9 Maths) - tap an answer for instant feedback and a step-by-step solution. Practice the full set free on the RankByte app.
Triangle area by sides, applications to quadrilateralsQuiz - Solve & Score
Q1. A florist builds a triangular wreath base with sides 27 cm, 30 cm and 51 cm. What is the base area in square centimetres?
- A.108
- B.648
- C.405
- D.324
Answer: D. 324
Semi-perimeter s = (27+30+51)/2 = 54. Area = sqrt(s(s-a)(s-b)(s-c)) = sqrt(54*27*24*3) = 324.
Q2. A sail on a small boat is triangular with edges measuring 20 m, 37 m and 51 m. What is the area of the sail in square metres?
- A.370
- B.612
- C.108
- D.306
Answer: D. 306
Semi-perimeter s = (20+37+51)/2 = 54. Area = sqrt(s(s-a)(s-b)(s-c)) = sqrt(54*34*17*3) = 306.
Q3. A geologist samples a triangular rock outcrop whose edges measure 3 m, 4 m and 5 m. What is the area of the outcrop in square metres?
- A.12
- B.-3
- C.18
- D.6
Answer: D. 6
Semi-perimeter s = (3+4+5)/2 = 6. Area = sqrt(s(s-a)(s-b)(s-c)) = sqrt(6*3*2*1) = 6.
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