Tiered Problems for a Variety of Middle School ... - WordPress.com
Tiered Problems for a Variety of Middle School ... - WordPress.com
Tiered Problems for a Variety of Middle School ... - WordPress.com
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Grade 8 Goal: Apply the Pythagorean Theorem<br />
Green<br />
A ladder is 15m long. Its foot is on a flat driveway 9m from the base <strong>of</strong> a vertical wall. How<br />
far up the wall will the top <strong>of</strong> the ladder reach?<br />
Blue<br />
The hypotenuse <strong>of</strong> a right angled triangle is twice the length <strong>of</strong> one leg <strong>of</strong> the triangle. The<br />
length <strong>of</strong> the other leg is 12 cm. How many square centimeters are in the area <strong>of</strong> the right<br />
triangle? Express your answer in simplest radical <strong>for</strong>m.<br />
Black<br />
A swimmer at A, on one side <strong>of</strong> a straight-banked canal 100 meters wide, swims to a point B<br />
on the other bank, directly opposite to A. His steady rate <strong>of</strong> swimming is 5 meters per<br />
second, and the canal flow is a steady 3 meters per second.<br />
A. Find the shortest time it could take him to swim from A to B.<br />
B. Find the distance the swimmer would travel in this amount <strong>of</strong> time.<br />
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