Practice Area of a Triangle — by Heron’s Formula - 10.1 | 10. Heron'S Formula | CBSE 9 Mathematics
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Area of a Triangle — by Heron’s Formula

10.1 - Area of a Triangle — by Heron’s Formula

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Calculate the semi-perimeter of a triangle with sides 10 cm, 5 cm, and 6 cm.

💡 Hint: Remember to sum the sides and divide by 2.

Question 2 Easy

What is the area of an equilateral triangle with each side 6 cm?

💡 Hint: First find the semi-perimeter.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is Heron's formula used for?

💡 Hint: Think about what unknowns you have when dealing with a triangle.

Question 2

True or False: The semi-perimeter is equal to the perimeter divided by 2.

True
False

💡 Hint: Consider how semis relate to full values.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A triangle has sides of lengths 15 m, 20 m, and 25 m. Use Heron's formula to find the area. Then verify if it is a right-angled triangle.

💡 Hint: Calculate the semi-perimeter first.

Challenge 2 Hard

Given a triangle with sides 8 cm, 15 cm, and x cm. If the perimeter is 38 cm, find the value of x and the area of the triangle.

💡 Hint: Remember to calculate the semi-perimeter.

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