If the area of a right angle triangle is 26.56and the base is 8.3 then what is the height?

The area \( A \) of a right-angled triangle can be found using the formula:

\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]

Given:
- \( A = 26.56 \)
- \( \text{base} = 8.3 \)
  
Let's solve for the height \( h \).

### Step-by-Step Solution

1. Substitute the values into the area formula:

   \[
   26.56 = \frac{1}{2} \times 8.3 \times h
   \]

2. Multiply both sides by 2 to eliminate the fraction:

   \[
   2 \times 26.56 = 8.3 \times h
   \]

   \[
   53.12 = 8.3 \times h
   \]

3. Now, divide both sides by 8.3 to solve for \( h \):

   \[
   h = \frac{53.12}{8.3}
   \]

4. Calculating this gives:

   \[
   h \approx 6.4
   \]

### Answer
The height of the triangle is approximately **6.4 units**.

Would you like further details or have any questions?

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Here are five related questions for further practice:

1. If the base and height of a triangle are both increased by a factor of 2, how does the area change?
2. If the base of a right-angled triangle is halved and the area remains the same, what happens to the height?
3. For a triangle with an area of 50 and a height of 10, what is the base?
4. How would you find the hypotenuse of a right-angled triangle if only the base and area are known?
5. How does changing the base of a triangle affect the height if the area is kept constant?

**Tip:** Always ensure that the units are consistent when calculating area, especially if given measurements in different units.

If the area of a right angle triangle is 26.56 and the base is 8.3 then what is the height?

Discover how to calculate the height of a right angle triangle when the area is 26.56 and the base is 8.3. This guide provides a step-by-step solution using the area formula, making it suitable for students in Grades 6-8.

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