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The Question & Answer (Q&A) Knowledge Managenet

The Internet has many places to ask questions about anything imaginable and find past answers on almost everything.

Table of Contents

- Can the area and perimeter of a triangle be the same?
- What has the same perimeter as a triangle?
- How do you find the area of a rectangle with 4 sides?
- How do you find the height of a triangle if all sides are known?
- How do you estimate the height of a tree?
- How do you find the height of a box?
- What is height of a box?

Any triangles with the same perimeter and area and with one side the same are congruent. This is no surprise. The area of a triangle is half of the product of the base and the perpendicular height, so given the base and the area, the height is fixed.

An equilateral triangle has the same perimeter as a square.

To find the area of a rectangle, you need two measurements: the width, or base (the longer side of the rectangle), and the length, or height (the shorter side of the rectangle). Then, just multiply them together to get the area. In other words: Area = base × height, or A = b × h for short.

Using Area To Find the Height of a Triangle Now that you know the area of the triangle pictured above, you can plug it into triangle formula A=1/2bh to find the height of the triangle. In this case, the base would equal half the distance of five (2.5), since this is the shortest side of the triangle.

Calculating tree height requires the use of basic trigonometry: h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree. Since your measurements will be made at eye level, you need to know your eye height (height of your eye above the ground).

Height of Rectangular Objects Divide the volume by the product of the length and width to calculate the height of a rectangular object. For this example, the rectangular object has a length of 20, a width of 10 and a volume of 6,000. The product of 20 and 10 is 200, and 6,000 divided by 200 results in 30.

The Three Dimensions of a Box Length: The longest side when looking at the top of the box. Width: The shorter side when looking at the top of the box. Depth (Height): The side perpendicular to the length and width. Make sure you measure the internal dimensions rather than the external dimensions!