Let’s solve this step by step.
We are given a triangle with:
- Base = 10 cm
- Height = 6 cm (this is the perpendicular height from the base to the opposite corner)
- The other two sides = 8 cm and 7 cm
We need to find:
1. Perimeter
2. Area
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Step 1: Find the perimeter
Perimeter means adding up all three sides of the triangle.
The sides are:
- One side = 10 cm (the base)
- Second side = 8 cm
- Third side = 7 cm
So, add them:
10 + 8 + 7 = 25
✔ Perimeter = 25 centimeters
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Step 2: Find the area
Area of any triangle = (base × height) ÷ 2
We’re told:
- Base = 10 cm
- Height = 6 cm (this is the vertical line from the top point down to the base — it doesn’t matter if it’s not one of the sides; as long as it’s the perpendicular height, we use it)
So plug into the formula:
(10 × 6) ÷ 2 = 60 ÷ 2 = 30
✔ Area = 30 square centimeters
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Final Answer:
Perimeter = 25 cm, Area = 30 cm²
Parent Tip: Review the logic above to help your child master the concept of triangle area and perimeter worksheet.
