AREAS OF RIGHT-ANGLED TRIANGLES. 756. The square shown in the diagram is divided into two parts by a diagonal. One side of the square measures 10 feet. 1. Mark in each triangle its area. 2. Divide a rectangle 20 ft. by 12 ft. into two parts by a diagonal. Mark in each triangle its area. area 3. Draw a right-angled triangle 3 in. by 4 in. Calculate its in square inches. 4. How many square yards in the surface of a right-angled triangle whose base measures 30 feet, and whose perpendicular measures 22 feet. Find the area in square feet of the following right-angled triangles. (Change each dimension to feet.) 5. Base 20 yd., perpendicular 30 ft. 6. Base 16 in., perpendicular 3 ft. 7. Base 30 in., perpendicular 1 yd. 8. Base 3 ft. 6 in., perpendicular 5 ft. 9. Base 2 yd. 1 ft., perpendicular 1 yd. 9 in. 10. Base 50 yd., perpendicular 36 yd. 11. Base 112 ft., perpendicular 30 yd. 13. Base 12 yd., perpendicular 131 yd. 15. Base 331 ft., perpendicular 18 ft. 6 in. SHORT METHODS.' 758. Multiply. Do not reduce to improper fractions. 11. Divide the sum of .736 and 1.2854 by their difference. 12. Divide .1 by .2 and .35 by 35, and find the product of the quotients. 13. Reduce to a decimal, and divide it by .3125. 14. Divide .12096 by .032. 15. Multiply .00273 by 3,000.456, and divide the product by .08. 16. Divide 12.3125 by .000625. 17. Divide 51.5 by 412, and 412 by 51.5. 18. Multiply 31.5 by 27.9, and divide the product by 9.765. In 5 gal. there are 20 qt. Adding the 3 qt., we have 23 qt. Multiplying by 2 to reduce to pints, and adding in 1 pt., we get the answer, 47 pints. 767. Reduction Descending. Slate Exercises. Reduce to pints: 1. 16 gal. 1 qt. 1 pt. 2. 27 gal. 2 qt. 3. 16 gal. 4. 16 gal. 1 pt. 5. 34 gal. 3 qt. 1 pt. 5 gal. 3 qt. 1 pt. 4 23 qt. 47 pt. Ans. 768. Change 67 pt. to gallons, quarts, and pints. |