Finding Missing Lengths in Geometry

Finding Missing Lengths in Geometry

Read each question carefully and find the missing length(s) for each geometric figure. Show all your work.

1. Find the missing side length 'x' in the right-angled triangle below.

2. An isosceles triangle has two sides of length 10 cm and a base of 12 cm. What is the height of the triangle?

1. A rectangle has a length of 15 cm and a perimeter of 50 cm. The width of the rectangle is   cm.

2. If a square has an area of 81 square meters, then the length of one side is   meters.

3. The diagonal of a rectangle measures 13 inches. If one side is 5 inches, the other side is   inches.

1. The perimeter of the shape below is 36 units. Find the missing length 'y'.

2. A rectangular garden has an area of 72 square feet. If the width of the garden is 8 feet, what is its length?

1. What is the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm?

2. A rectangular field is twice as long as it is wide. If the perimeter is 60 meters, what is the width of the field?

1. In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

2. The area of a triangle is calculated by multiplying its base by its height.