What is the missing length? Traingle
14.6 mm for base
a
Area of shaded region=94.9 mm2

To find the missing length \( a \) of the triangle, we need to use the formula for the area of a triangle:

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

In this case:
- The area of the shaded region is \( 94.9 \, \text{mm}^2 \),
- The base is \( 14.6 \, \text{mm} \),
- The height is the missing length \( a \).

Substituting the known values into the formula:

\[
94.9 = \frac{1}{2} \times 14.6 \times a
\]

Now, solve for \( a \):

\[
94.9 = 7.3 \times a
\]

\[
a = \frac{94.9}{7.3}
\]

Let me calculate this.The missing length \( a \) (height of the triangle) is approximately \( 13 \, \text{mm} \).

Would you like more details or have any questions?

Here are some related questions:
1. How do you calculate the area of a triangle for different triangle types?
2. What if the base and height are not perpendicular—how would you adjust the formula?
3. Can this formula be used for all types of triangles?
4. How does the area formula change for a right triangle?
5. What role does the Pythagorean theorem play in solving triangle problems?

**Tip:** Always ensure the base and height are perpendicular when using the triangle area formula.

What is the missing length? Triangle with base 14.6 mm, Area of shaded region = 94.9 mm².

Learn how to calculate the missing height of a triangle with a base of 14.6 mm and an area of 94.9 mm². This step-by-step guide covers key geometry concepts, including the area formula for triangles. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation