Table of Contents
- Example 1
- What’s Next?
In the previous segment, we had a look at Heron’s Formula. In this segment, we will see examples of the same.
Example 1
Q. Find the area of △PQR with sides 25, 39, and 56 units.
Fig 1
Solution:
Let a = 25 units, b = 39 units, c = 56 units.
Semi-perimeter (?) = ?+?+?
2
25+39+56 120
∴ ? = =
= 60 units.
2 2
By Heron’s formula,
A (△ABC) = √?(? − ?)(? − ?)(? − ?)
∴ A (△ABC) =√60(60 − 25)(60 − 39)(60 − 56) = √60 × 35 × 21 × 4
∴ A (△ABC) = √2 × 2 × 3 × 5 × 5 × 7 × 3 × 7 × 2 × 2
∴ A (△ABC) = √(2 × 2) × (2 × 2) × (3 × 3) × (5 × 5) × (7 × 7)
∴ A (△ABC) = 2 × 2 × 3 × 5 × 7 = 420 sq. units.
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| What is Heron’s Formula? |
