what is the length of x in decimal form to the nearest hundreth the first triangle is 11.4 inch 18 inch then the second triangle 23.4 inch but a side length is missing its called x
To find the length of x in decimal form to the nearest hundredth, we need to solve for x based on the given triangle information.
Using the first triangle: base = 11.4 inches and height = 18 inches
The area of the triangle (A) is given by: A = (base * height) / 2
Substituting the given values, we have: A = (11.4 * 18) / 2 = 205.2 square inches
Using the second triangle: base = x inches and height = 23.4 inches
Since the two triangles have the same area (205.2 square inches), we can set up the following equation: (11.4 * 18) / 2 = (x * 23.4) / 2
Simplifying, we get: x * 23.4 = 11.4 * 18
x = (11.4 * 18) / 23.4
x ≈ 8.800 to the nearest hundredth.
Therefore, the length of x in decimal form to the nearest hundredth is 8.80 inches.