Finding Base or Height of triangle - Free Printable

The task in the image involves finding either the base or the height of various triangles, given their area and one of these dimensions. The formula for the area of a triangle is:

\[
\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}
\]

We can rearrange this formula to solve for either the base or the height, depending on what is given:

1. To find the base:
\[
\text{Base} = \frac{2 \times \text{Area}}{\text{Height}}
\]

2. To find the height:
\[
\text{Height} = \frac{2 \times \text{Area}}{\text{Base}}
\]

Let's go through each triangle in the image step by step.

---

Triangle 1:

- Given: Area = 10 square units, Height = 5 units
- Find: Base

Using the formula for the base:
\[
\text{Base} = \frac{2 \times \text{Area}}{\text{Height}} = \frac{2 \times 10}{5} = \frac{20}{5} = 4 \text{ units}
\]

Answer: Base = 4 units

---

Triangle 2:

- Given: Area = 18 square units, Base = 6 units
- Find: Height

Using the formula for the height:
\[
\text{Height} = \frac{2 \times \text{Area}}{\text{Base}} = \frac{2 \times 18}{6} = \frac{36}{6} = 6 \text{ units}
\]

Answer: Height = 6 units

---

Triangle 3:

- Given: Area = 24 square units, Height = 8 units
- Find: Base

Using the formula for the base:
\[
\text{Base} = \frac{2 \times \text{Area}}{\text{Height}} = \frac{2 \times 24}{8} = \frac{48}{8} = 6 \text{ units}
\]

Answer: Base = 6 units

---

Triangle 4:

- Given: Area = 12 square units, Base = 4 units
- Find: Height

Using the formula for the height:
\[
\text{Height} = \frac{2 \times \text{Area}}{\text{Base}} = \frac{2 \times 12}{4} = \frac{24}{4} = 6 \text{ units}
\]

Answer: Height = 6 units

---

Triangle 5:

- Given: Area = 30 square units, Height = 10 units
- Find: Base

Using the formula for the base:
\[
\text{Base} = \frac{2 \times \text{Area}}{\text{Height}} = \frac{2 \times 30}{10} = \frac{60}{10} = 6 \text{ units}
\]

Answer: Base = 6 units

---

Triangle 6:

- Given: Area = 20 square units, Base = 5 units
- Find: Height

Using the formula for the height:
\[
\text{Height} = \frac{2 \times \text{Area}}{\text{Base}} = \frac{2 \times 20}{5} = \frac{40}{5} = 8 \text{ units}
\]

Answer: Height = 8 units

---

Triangle 7:

- Given: Area = 15 square units, Height = 5 units
- Find: Base

Using the formula for the base:
\[
\text{Base} = \frac{2 \times \text{Area}}{\text{Height}} = \frac{2 \times 15}{5} = \frac{30}{5} = 6 \text{ units}
\]

Answer: Base = 6 units

---

Triangle 8:

- Given: Area = 25 square units, Base = 10 units
- Find: Height

Using the formula for the height:
\[
\text{Height} = \frac{2 \times \text{Area}}{\text{Base}} = \frac{2 \times 25}{10} = \frac{50}{10} = 5 \text{ units}
\]

Answer: Height = 5 units

---

Final Answers:

1. Base = 4 units
2. Height = 6 units
3. Base = 6 units
4. Height = 6 units
5. Base = 6 units
6. Height = 8 units
7. Base = 6 units
8. Height = 5 units

\boxed{4, 6, 6, 6, 6, 8, 6, 5}