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Class 9 Mathematics — Chapter 10: Heron's Formula

90 practice questions · 30 Easy · 30 Medium · 30 Hard

Free NCERT-aligned multiple-choice practice for Class 9 Mathematics, Chapter 10 (Heron's Formula). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 90.

Sample questions

Q1Easy

The semi-perimeter of an equilateral triangle with side 6 cm is:

A.6
B.9✓ correct
C.18
D.3
Why

s = (6+6+6)/2 = 18/2 = 9.

Q2Medium

Find the area of a triangle with sides 13, 14, 15 cm.

A.84 cm²✓ correct
B.72 cm²
C.96 cm²
D.42 cm²
Why

s=(13+14+15)/2=21. Area=√(21×8×7×6)=√7056=84cm².

Q3Hard

ABCD is a quadrilateral with AB=9, BC=40, CD=28, DA=15, and ∠ABC=90°. Find its area.

A.306 m²✓ correct
B.600 m²
C.432 m²
D.756 m²
Why

ΔABC (right at B): area=½×9×40=180. AC=√(81+1600)=41. ΔACD: s=(41+28+15)/2=42; area=√(42×1×14×27)=√15876=126. Total=180+126=306m².

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