# The New Student's Reference Work for Teachers, Students and Families Volume 5

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1919 edition. Excerpt: ...more will it cost to fence a rectangular field 216 rd. long and 24 rd. wide, than a square field of the same area at \$2.25 a rod? RIGHT TRIANGLE. A right triangle is a triangle containing a right angle. The hypotenuse is the side opposite the right angle. It is the longest side. The other two sides forming the right angle are called the base and perpendicular. Draw a right triangle with the base 3 in. and perpendicular 4 in. The hypotenuse will be 5 in. On each side of the triangle, draw a square, and divide each square into square inches. How does the number of units in the square of the hypotenuse compare with the number of units in the sum of the squares of the other two sides? Learn--In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Hence, the square of either side equals the square of the hypotenuse less the square of the other side. hyp2--base2-f-perp2 hyp = V base2--perp2 base2 = hyp2--perp2 base = Vhyp2--perp2 perp2 = hyp2--base2 perp = Vhyp3--base2 The base of a right triangle's 24 ft., and the perpendicular is 18 ft. yS What is the hypotenuse? 242 = 576 square of base., s 182 = 324 square of perpendicular. 900 square of hypotenuse. 24 V900 = 30 length of hypotenuse. Rule. To find the hypotenuse, having the base and perpendicular given: Add the square of the base and the square of the perpendicular, and find the square root of the sum. Rule. To find the base or perpendicidar, having the hypotenuse and other side given: Prom the square of the hypotenuse subtract the square of the given side, and take the square root of the remainder. EXERCISE 43. 1. The base of a right triangle is 39 ft., and the perpendicular is 52 ft. What is the hypotenuse? 2. What is the diagonal of a...show more

## Product details

• Paperback | 312 pages
• 189 x 246 x 17mm | 558g
• Miami Fl, United States
• English
• black & white illustrations
• 1236545613
• 9781236545619