To solve the problem of finding the area of each triangle in the given worksheet, we will use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Step-by-Step Solution:
####
1) Isosceles Triangle (Problem 1):
- Base = 15 yd
- Height = 6.40 yd
\[
\text{Area} = \frac{1}{2} \times 15 \times 6.40 = \frac{1}{2} \times 96 = 48 \text{ square yards}
\]
####
2) Right Triangle (Problem 2):
- Base = 12 yd
- Height = 11 yd
\[
\text{Area} = \frac{1}{2} \times 12 \times 11 = \frac{1}{2} \times 132 = 66 \text{ square yards}
\]
####
3) Scalene Triangle (Problem 3):
- Base = 13 yd
- Height = 11 yd
\[
\text{Area} = \frac{1}{2} \times 13 \times 11 = \frac{1}{2} \times 143 = 71.5 \text{ square yards}
\]
####
4) Scalene Triangle (Problem 4):
- Base = 10 in
- Height = 4.00 in
\[
\text{Area} = \frac{1}{2} \times 10 \times 4.00 = \frac{1}{2} \times 40 = 20 \text{ square inches}
\]
####
5) Scalene Triangle (Problem 5):
- Base = 14 ft
- Height = 6.40 ft
\[
\text{Area} = \frac{1}{2} \times 14 \times 6.40 = \frac{1}{2} \times 89.6 = 44.8 \text{ square feet}
\]
####
6) Isosceles Triangle (Problem 6):
- Base = 5 in
- Height = 5.45 in
\[
\text{Area} = \frac{1}{2} \times 5 \times 5.45 = \frac{1}{2} \times 27.25 = 13.625 \text{ square inches}
\]
Final Answers:
1. \( 48 \text{ square yards} \)
2. \( 66 \text{ square yards} \)
3. \( 71.5 \text{ square yards} \)
4. \( 20 \text{ square inches} \)
5. \( 44.8 \text{ square feet} \)
6. \( 13.625 \text{ square inches} \)
\[
\boxed{48, 66, 71.5, 20, 44.8, 13.625}
\]
Parent Tip: Review the logic above to help your child master the concept of finding area of triangle worksheet.