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Name___________________________________Date___________ GEOMETRY: WORKSHEET 7 1. Use the 3-4-5 triangle secret to find the length of this hypotenuse. 2. Use the Pythagorean Theorem to find the length of this hypotenuse. 3. Find the diagonal length of the square below. 4. What type of triangle has a hypotenuse? www.LearnMathFastBooks.com GEOMETRY WORKSHEET 7 Pg. 2 5. Triangle ABC is an isosceles triangle. What is the length of side AB? 6. What is the measurement of 7. A gallon of paint will cover 150 square feet. Will 1 gallon be enough paint to D if F = 40o? cover this surface? www.LearnMathFastBooks.com GEOMETRY WORKSHEET 7 Pg. 3 8. Use the Pythagorean Theorem to find the length of the hypotenuse in the following triangles. 9. I want to put a concrete patio next to my house. It must be square with the house, in other words, the edge of the patio needs to be perpendicular to the house. The patio will measure 12β x 16β and it will be placed next to the house as drawn below. Use the 3-4-5 triangle secret to find the diagonal measurement that will help you place the patio in the proper place. 10. Find the area of this right triangle. www.LearnMathFastBooks.com Name___________________________________Date___________ GEOMETRY: WORKSHEET 7 1. Use the 3-4-5 triangle secret to find the length of this hypotenuse. The hypotenuse is 20β. 2. Use the Pythagorean Theorem to find the length of this hypotenuse. 82 + 242 = c2 64 + 576 = c2 640 = c2 640 = π2 640 = π 3. Find the diagonal length of the 10β square. 2 10 + 102 = c2 200 = c2 200 = π 4. What type of triangle has a hypotenuse? A right triangle. www.LearnMathFastBooks.com ANSWERS TO GEOMETRY WORKSHEET 7 Pg. 2 5. Triangle ABC is an isosceles triangle. What is the length of side AB? Side AB = 12β 6. What is the measurement of F = 40o? D if 180 = 90 + 40 + x 180 = 130 + x 180 β 130 = x Angle D is 50o 50 = x 7. Area of the rectangleβ¦13β x 10β = 130 sq. ft. 2 Area of the triangleβ¦12β x 13β = 156ft 156sq ft x ½ = TOTAL AREA 78 sq ft 208 sq ft. No, one gallon is not enough paint. www.LearnMathFastBooks.com ANWERS TO GEOMETRY WORKSHEET 7 Pg. 3 8. Use the Pythagorean Theorem to find the length of the hypotenuse in the following triangles. 62 + 82 = c2 32 + 112 = c2 102 + 42 = c2 36 + 64 = c2 9 + 121 = c2 100 + 16 = c2 100 = c2 130 = c2 116 = c2 100 = π2 130 = π 116 = π 10 = c 9. Solve the diagonal measurement by finding the hypotenuse of the invisible triangle inside the patio. www.LearnMathFastBooks.com ANWERS TO GEOMETRY WORKSHEET 7 Pg. 4 122 + 162 = c2 144 + 256 = c2 400 = c2 20 = c 10. Find the area of this right triangle. This is a 3-4-5 triangle so the missing length is 4β. Area of a triangle is ½ bh. ½ (4β x 3β) ½ (12 sq ft) = 6 sq ft The area of the triangle is 6ft2. www.LearnMathFastBooks.com