The adjacent side of parallelogram are 36 cm and 27 CM in length if the distance between the shorter side is 12 cm find the distance between the longer side
Since the area is base * height regardless of which base is picked,
27*12 = 36*h
where h is the distance between the longer sides.
No
To find the distance between the longer side of the parallelogram, we can use the Pythagorean theorem.
Step 1: Draw a diagram of the parallelogram and label the given lengths. In this case, the adjacent sides of the parallelogram are 36 cm and 27 cm, and the distance between the shorter side is 12 cm.
Step 2: Identify the right triangle formed by one of the sides of the parallelogram, the shorter side, and the distance between the shorter side.
Step 3: Use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we want to find the length of the longer side of the parallelogram, which is the hypotenuse of the right triangle.
Step 4: Use the Pythagorean theorem formula:
c^2 = a^2 + b^2
where c is the length of the hypotenuse (the longer side of the parallelogram), and a and b are the lengths of the other two sides.
Step 5: Substitute the given values into the formula. In this case, a = 12 cm and b = 27 cm.
c^2 = 12^2 + 27^2
Step 6: Calculate the values on the right side of the equation.
c^2 = 144 + 729
c^2 = 873
Step 7: Take the square root of both sides to solve for c.
c = √873
c ≈ 29.52 cm
Therefore, the distance between the longer side of the parallelogram is approximately 29.52 cm.