https://r2.erweima.ai/mathbot/image/17266788691445eua6nvd.jpg

Let's break down and solve the questions based on the image.

The triangle \( ABC \) has \( AB = AC \), which indicates the triangle is **isosceles** (since two sides are equal).

### (a) Write down the mathematical name for this type of triangle.
- The name of the triangle is an **isosceles triangle** because two sides, \( AB \) and \( AC \), are of equal length.

### (b) Measure angle \( CAB \).
- Without a protractor to physically measure, we cannot provide the exact angle measure from the image. If you are solving this in a test or classroom, you would use a protractor for an accurate result.

### (c) Write down the mathematical name for angle \( CAB \).
- In an isosceles triangle, the angle opposite the base \( BC \) is called the **vertex angle**. Therefore, the mathematical name for angle \( CAB \) is the **vertex angle**.

Would you like further details on any of these steps?

Here are five related questions to deepen your understanding:
1. How can you calculate angles in an isosceles triangle if two sides are known?
2. What are the properties of isosceles triangles regarding their angles?
3. How do the base angles of an isosceles triangle relate to each other?
4. Can you use trigonometry to find the angles of an isosceles triangle if the side lengths are known?
5. What is the difference between an isosceles and an equilateral triangle?

**Tip:** When working with isosceles triangles, remember that the two base angles are always equal. This can help in solving for unknown angles if one is given.

In triangle ABC, AB = AC.
(a) Write down the mathematical name for this type of triangle.
(b) Measure angle CAB.
(c) Write down the mathematical name for angle CAB.

Explore how to identify an isosceles triangle where two sides are equal. Learn the properties of isosceles triangles and understand how to measure and name angles within them. Suitable 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