Question

5. Which of the following side lengths do NOT form a right triangle?
A. 5 cm, 12 cm and 13 cm
B. 8 cm, 15 cm and 17 cm
C. 9 in, 40 in and 41 in
D. 20 in, 21 in and 28 in
6.To get from your house to your grandparent’s house you must avoid walking through a pond. To avoid the pond, you walk 0.5 miles south and 1.2 miles east. How many miles would be saved if it were possible to walk through the pond?
A. 0.4 miles
B. 1.69 miles
C. 3.0 miles
D. 6.4 miles

Answer 1

you can test the answer choices for #5 by plugging them into the Pythagorean theorem: \[a^2+b^2=c^2\]If the first number squared plus the second number squared does not equal the third number squared, it is not a right triangle.

for #6, see the diagram:

The distance you walk is 0.5 + 1.2 miles. The distance as the crow flies is \(c\) in the diagram, as computed with the Pythagorean theorem.

The distance saved is the distance you walked - the value of \(c\) you found