Adaptive Practice

Heron's Formula

10 questions • Earn up to 101 XP • First attempt — go for 100%!

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Question 1 of 10 ⏱ 0:30
Easy
What is the formula for the semi-perimeter (s) of a triangle with sides a, b, and c?
Easy
If a triangle has sides 3 cm, 4 cm, and 5 cm, what is its area using Heron's formula?
Medium
A triangle has sides 7 cm, 8 cm, and 9 cm. Find its area using Heron's formula.
Easy
Which of the following is NOT a necessary step in applying Heron's formula?
Medium
If the sides of a triangle are in the ratio 3:4:5 and its perimeter is 36 cm, what is the area of the triangle?
Medium
A triangle has sides 13 cm, 14 cm, and 15 cm. Calculate its area using Heron's formula.
Medium
Which of the following triangles cannot have its area calculated using Heron's formula?
Easy
A triangle has sides 5 cm, 12 cm, and 13 cm. Without calculating the height, find its area using Heron's formula.
Hard
The area of a triangle is 84 cm² and its sides are 7 cm, 15 cm, and x cm. Find the value of x using Heron's formula.
Medium
A triangle has sides 9 cm, 10 cm, and 17 cm. Calculate its area using Heron's formula or state if not possible.

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