SOLVING WORD PROBLEMS USING PYTHAGOREAN THEOREM WORKSHEET

Problem 1 :

A land surveyor uses this diagram to find x, find the length of lake.

Solution

Problem 2 :

A foot ladder leans against a shed reaching a height of x feet. The base of the ladder is 10 feet from the shed.

Solution

Problem 3 :

The diagram shows a sailboat. What is approximate area of the sail shown ?

(a)  79 square feet     (b)  126 square feet

(c)  158 square feet      (d)  200 square feet

Solution

Problem 4 :

The television screen has a 25 inch diagonal and a 15 inch height. What is the area of the screen ?

(a)  150 square inches    (b)  300 square inches

(c)  375 square inches   (d) 437 square inches

Solution

Problem 5 :

If two forces, A and B pull at right angles from each other, the resultant force can be represented as the diagonal of a rectangle.

If a 21 pound force and a 28 pound force are pulling of an object, and the resultant force is 35 pounds, are the forces pulling a right angles ?

Solution

Problem 6 :

The distance across a pond cannot be directly measured. A land surveyor takes some other measurements and uses them to find d, the distance across the pond.

What is the distance across the pond ?

(a)  70 meters   (b) 35 meters   (c)  50 meters    (d) 10 meters

Solution

Problem 7 :

The solid line below show the route Maddy's bus takes to school. The dashed line shows a shortcut she takes through the park when she rides her bike to school. What is the difference in km between the shortcut and the usual route ?

(a)  10 km     (b)  4 km     (c)  7 km    (d)  3 km

Solution

Problem 8 :

On the map below, the post office is at origin (0, 0) and each unit represents 1 km. Amy lives 6 km east and 8 km north of the post office. if she rides her bike directly from her house to the post office, how far will she ride her bike ?

(a)  4.8 km   (b)  12 km   (c)  10 km   (d)  14 km

Solution