If a triangle has sides a=5 cm,b=12 cm and c=13 cm Calculate the semi-perimeter (s)
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Step-by-Step Solution
Step 1: Understand the Formula for Semi-perimeter
The semi-perimeter of a triangle is half the sum of its three sides. It is commonly denoted by the letter s. This formula is fundamental in various triangle calculations, such as Heron's formula for area.
Step 2: Substitute the Given Side Lengths
We are given the lengths of the three sides of the triangle: a=5 cm, b=12 cm, and c=13 cm. Substitute these values into the semi-perimeter formula.
Step 3: Calculate the Sum of the Sides
First, add the lengths of the three sides together: 5+12+13=30 cm. This sum represents the perimeter of the triangle.
Step 4: Divide by Two to Find the Semi-perimeter
Finally, divide the total perimeter by 2 to find the semi-perimeter. 30÷2=15 cm.