Determine the lengths of the inside edge of a right triangle that is 1" thick

Question

Imagine I have a window that is the shape of a right triangle that is 22" high (Side A), and 44" wide (Side C) and a 49.1935" hyptenuse (Side B) around the outside edge of the frame.

The frame has a 1" thickness.

How do I determine the lengths of the inside edge of the frame (DEF)? I need to write this in JavaScript to calculate the inside edge lengths of the frame.

Answer 1

I will break this down into 3 steps to talk about the logic before we go into what the code would possibly look like.

1. To determine the lengths of the inside edge of the frame (DEF) of a right triangle that is 1" thick, you can follow these steps: Subtract 2 inches from each side of the original triangle to account for the 1" thickness of the frame. This will give you the dimensions of the inside edge of the frame.
2. Use the Pythagorean theorem to find the length of the hypotenuse of the inside edge of the frame. This can be done by squaring the length of each of the two legs of the inside edge of the frame, adding them together, and then taking the square root of the sum.
3. Write a JavaScript function that takes the height and width of the original triangle, as well as the thickness of the frame, as inputs, and outputs the lengths of the inside edge of the frame.

Here is an example of what the JavaScript function might look like:

function calculateInsideEdge(height, width, thickness) {

var insideHeight = height - (2 * thickness);

var insideWidth = width - (2 * thickness);

var insideHypotenuse = Math.sqrt((insideHeight * insideHeight)

 + (insideWidth * insideWidth));

return [insideHeight, insideWidth, insideHypotenuse];

}

You can then call this function with the appropriate inputs to calculate the inside edge lengths of the frame. For example:

var result = calculateInsideEdge(22, 44, 1);

console.log(result);

This would output an array containing the inside height, inside width, and inside hypotenuse of the frame.