Let’s solve each triangle one by one using the formula:
Area = ½ × base × height
We must be careful to pick the correct
base and the corresponding
height — the height is always the perpendicular distance from the base to the opposite corner.
---
Triangle 1:
It’s a right triangle (you can tell because two sides are at a right angle).
Base = 8 cm, Height = 6 cm
(You could also use 6 cm as base and 8 cm as height — same result.)
Area = ½ × 8 × 6
= 4 × 6
=
24 cm²
✔ Check: ½ × 8 × 6 = 24 → Correct.
---
Triangle 2:
This is an isosceles triangle with a vertical height drawn inside.
Base = 10 m, Height = 12 m (the black line going straight down)
Area = ½ × 10 × 12
= 5 × 12
=
60 m²
✔ Check: ½ × 10 × 12 = 60 → Correct.
Note: The 13 m sides are slant heights — we don’t use them for area unless we’re doing something else. We only need base and perpendicular height.
---
Triangle 3:
The base is given as 10 m.
The height is shown as a dashed line going up to the top vertex — it’s labeled 6 m.
Even though the triangle looks “tilted”, the height is still perpendicular to the base.
Area = ½ × 10 × 6
= 5 × 6
=
30 m²
✔ Check: ½ × 10 × 6 = 30 → Correct.
---
Triangle 4:
Here, the base is 25 cm.
The height is the dashed line inside the triangle — it’s labeled 20 cm.
(The 24 cm side is just another side — not needed for area.)
Area = ½ × 25 × 20
First, ½ × 20 = 10
Then, 10 × 25 =
250 cm²
✔ Check: ½ × 25 × 20 = 250 → Correct.
---
Final Answer:
1. 24
2. 60
3. 30
4. 250
Parent Tip: Review the logic above to help your child master the concept of find the area of a triangle worksheet.