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9th Grade Heron Formula Quizzes, Questions & Answers

9th Grade

Top Trending Heron Formula Quizzes

Heron’s Formula Basics: Semiperimeter, Validity & Setup

Are you ready to get a triangle’s area using only its three side lengths? This quiz walks you through Heron’s idea: first check the triangle inequality, then take half the perimeter (the semiperimeter), and finally...

Questions: 20 | Attempts: 15 | Last updated: Jan 22, 2026

Sample Question 1
What is the formula for the semiperimeter of a triangle with sides a, b, and c?

S = a + b + c

S = ½(a + b + c)

S = (a + b + c)/3

S = (a × b × c)½

Sample Question 2
What must be true for any set of three lengths to form a triangle?

All sides equal

Sum of any two sides > third side

Sum of any two sides < third side

Difference of any two sides > third side

Sample Question 3
The semiperimeter of a triangle is 12 cm. Its sides are 7 cm and 9 cm. What is the third side?

8 cm

10 cm

6 cm

9 cm

9th Grade Heron Formula Quizzes, Questions & Answers

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