To find the area of a triangle, we use the formula:
Area = (base × height) ÷ 2
In each problem, two sides are given — but only
one pair is the base and height that form a right angle (the perpendicular sides). In all these diagrams, the vertical side and horizontal side are the legs of the right triangle — so they are the base and height. The third number (the slanted side) is the hypotenuse — we
ignore it for area calculation.
Let’s solve each one step by step.
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Problem 1:
Base = 22, Height = 10
Area = (22 × 10) ÷ 2 = 220 2 =
110
*(Note: 23.98 is the hypotenuse — ignore it)*
---
Problem 2:
Base = 26, Height = 10
Area = (26 × 10) ÷ 2 = 260 ÷ 2 =
130
*(27.69 is hypotenuse — ignore)*
---
Problem 3:
Base = 23, Height = 9
Area = (23 × 9) ÷ 2 = 207 2 =
103.5
*(24.40 is hypotenuse — ignore)*
---
Problem 4:
Base = 35, Height = 14
Area = (35 × 14) 2 = 490 2 =
245
*(37.10 is hypotenuse — ignore)*
---
Problem 5:
Here, the triangle is drawn with the right angle at the bottom right. So:
Base = 19, Height = 8
Area = (19 × 8) ÷ 2 = 152 ÷ 2 =
76
*(21.04 is hypotenuse — ignore)*
---
Problem 6:
Base = 29, Height = 12
Area = (29 × 12) ÷ 2 = 348 2 =
174
*(31.35 is hypotenuse — ignore)*
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✔ All calculations verified.
Final Answer:
1. 110
2. 130
3. 103.5
4. 245
5. 76
6. 174
Parent Tip: Review the logic above to help your child master the concept of area of triangle worksheet 6th grade.
