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Geom453 Review Pythagorean Theorem and Irregular Figures

Last updated over 5 years ago

15 Nsɛmmisa

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1.

Find c. Round your answer to the nearest tenth. Show all work in the "show your work" box.

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2.

Find y. Show all work in the "show your work" box.

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3.

If the two legs of a right triangle are 6 cm and 14 cm, find the length of the hypotenuse. Round your answer to the nearest tenth. Show all work in the "show your work" box.

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4.

If one leg of a right triangle is 7 ft and the hypotenuse is 25 ft, find the length of the other leg. Show all work in the "show your work" box.

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5.

The three side lengths of are triangle are 6 cm, 10 cm, and 14 cm. Will these three side lengths form a right triangle? You must support your answer with math. Show work in the "show your work" box.

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6.

The dimensions of a rectangle are 12 cm by 15 cm, find the length of its diagonal. Round your answer to the nearest tenth. Include units in your answer. Show all work in the "show your work" box.

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7.

A 17 meter piece of string is placed from the top of a 15 meter flagpole to the ground. How far is the base of the flagpole to the end of the piece of string? Show all work in the "show your work" box.

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8.

Find the perimeter of the figure below. Include units in your answer. Show all work in the "show your work" box.

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9.

Find the area of the figure below. Include units in your answer. Show all work in the "show your work" box.

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10.

Find the perimeter of the figure. (Hint: find the missing side lengths first). Include units in your answer.

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11.

Find the area of the figure. (Hint: find the missing side lengths first). Include units in your answer.

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12.

Find the area of the figure. Include units. Show all work in the "show your work" box.

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13.

Find the distance around the figure below. Include units. Use 3.14 for pi. Round to the nearest tenth. Show all work in the "show your work" box.

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14.

Find the area of the shaded region. Include units. Show all work in the "show your work" box.

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15.

Find the shaded region. (The two figures shown are a square and a triangle). Show all work in the "show your work" box.