If a triangle has sides $a = 5\text{ cm}, b = 12\text{ cm}$ and $c = 13\text{ cm}$ Calculate the semi-perimeter (s)

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: $a = 5\text{ cm}$, $b = 12\text{ cm}$, and $c = 13\text{ cm}$. 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: $5 + 12 + 13 = 30\text{ cm}$. 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. $30 \div 2 = 15\text{ cm}$.

More from this chapter

• In the given figure, DE BC. Find the value of x. **Figure Details:** - A triangle ABC with a line segment DE parallel to base BC, where point D lies on side AB
• In the given figure, find the value of x, if DE BC. **Figure description:** A triangle ABC with a line segment DE intersecting side AB at point D and side AC at
• **Example 13.** In DEW, AB EW. If AD = 4 cm, DE = 12 cm and DW = 24 cm, find the length of DB. *Figure Description:* Triangle DEW with vertex D at the top, base
• In the given figure, BD CD and EF CD. AE intersects CD at G, with point E lying on BC and A being on the extension of BD (or B-D-A). Prove that (CF)/(CD) = (FG)
• ABCD is a parallelogram. A line segment from B to a point E on the extension of side AD (beyond D) bisects CD at M and intersects the diagonal AC at L. Prove th
• 30. Diagonals AC and BD of trapezium ABCD with AB DC intersect each other at point O. Show that (OA)/(OC) = (OB)/(OD). Diagram details for 30: A trapezium ABCD
• If triangle ABC are equal toh triangle PRQ then prove that they are corresponding AB are 6.5 cm and Pq are 4.5 find other two sides
• The perimeters of two similar triangles ABC and PQR are 32 cm and 24 cm respectively. If PQ = 12 cm, find AB.

All Triangles solutions →