I need to analyze the image to understand the problem. It appears to be a geometry problem involving distances between three points (A, B, and C) that form a triangle.
Looking at the image:
- Point A is at the bottom left with a person on a bicycle.
- Point B is at the top left with a house.
- Point C is at the top right with a tree.
- The distance from A to B is 4 m.
- The distance from B to C is 3 m.
- The distance from A to C is 5 m.
The problem seems to be asking us to verify if these distances form a right triangle or to find some property of this triangle.
Let me check if this is a right triangle using the Pythagorean theorem. For a right triangle, the square of the longest side should equal the sum of the squares of the other two sides.
Let me calculate:
- AB² = 4² = 16
- BC² = 3² = 9
- AC² = 5² = 25
Now, let's see if AB² + BC² = AC²:
16 + 9 = 25, which equals AC².
This confirms that triangle ABC is a right triangle with the right angle at point B.
The solution is that the triangle formed by points A, B, and C is a right triangle with the right angle at B, since the sides satisfy the Pythagorean theorem: 3² + 4² = 5².
Parent Tip: Review the logic above to help your child master the concept of distance and displacement worksheet.
