Pythagorean Theorem Basics and Missing Sides

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Caroline measured the distance between three cities on a map that happened to form a right triangle. From Shoreview she traveled north 45 miles to Bloomington then she traveled diagonally 75 miles to Richfield. How far is Richfield to Shoreview? Round to the nearest tenth if necessary.

• 60 miles

• 30 miles

• 120 miles

• 87.5 miles

Find the value for x.

Mathematical Equivalence

ON

In the figure, what is AD, in centimeters?

• 38

• 48

• 60

• 96

Best buy is advertising a desktop monitor as 20 inches (diagonal length of the screen). If the screen is 12 inches high, what is the width of the screen? Round to the nearest tenth if necessary. (hint: we are looking for "a or b")

• 16 inches

• 8 inches

• 14 inches

• 18 inches

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

The diagonal of a rectangle is 25 in. The width is 15 in. What is the length? 

• 525 in

• 27 in

• 23 in

• 10 in

You need a ladder that will reach up a 7.62 metre tall house when placed 3.05 metres away from the house. How tall does the ladder need to be?

Which equation could be used to solve the problem?

Find the value of x. Round to the nearest tenth.

Mathematical Equivalence

ON

solve for c

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