a figure is made up of two identical triangles a 15 inch by 12 inch rectangle and a square of side 19 inchs what is the lenght of one side of each triangle if all the sides of the triangles are equal in lenght
To find the length of one side of each triangle, we need to first understand the figure's dimensions. Let's break it down step by step:
1. The figure consists of two identical triangles, a rectangle, and a square.
2. The rectangle has dimensions 15 inches by 12 inches.
3. The square has a side length of 19 inches.
Since the two triangles are identical, we can consider them as mirror images of each other. Therefore, to find the length of a side of one triangle, we can focus on one half of the figure. Let's start by calculating the length of the rectangle's longer side.
The rectangle's longer side can be split into two parts: one part is the length of the triangle, and the other part is half the side length of the square (as the square is divided into two triangles).
The length of the rectangle's longer side = length of triangle + (0.5 * side length of square)
= length of triangle + (0.5 * 19)
= length of triangle + 9.5 inches
Since the length of the rectangle's longer side is 15 inches, we can set up the following equation:
length of triangle + 9.5 inches = 15 inches
To find the length of one side of each triangle, we subtract 9.5 inches from 15 inches:
length of triangle = 15 inches - 9.5 inches
= 5.5 inches
Therefore, the length of one side of each triangle is 5.5 inches.