Oct 3-7

Grade 8 Problem of the Week Oct. 3-6

1.  Two numbers of a Pythagorean triple are given. Find the missing number. The numbers are listed in ascending order. 7,24, ___.

2. Peter wants to check that the lawn he is planting is a rectangle. He measured the width of the lawn to be 10 m, the length to be 24 m and the diagonal to be 26 m. Is the lawn a rectangle? Explain. 

3. A playing field is 60 m by 30 m. Jade walks diagonally across the field to the opposite corner. How far does she walk? Sketch a diagram 

4. Determine whether each triangle with the given side lengths is a right triangle.

a) 5, 5, 10 b) 15, 39, 36

5.  A ship leaves port and travels 25 km due south. It changes direction and travels due west for 15 km. What is the shortest distance it needs to travel to get back to port? Include a diagram.