...perpendicularly from the level of the eaves. How many square feet of slating does it contain. 6.Give the rule@(i) for finding the area of a triangle when the three sides are known; (2) for finding the diameter of a circle when the height of an arc and the chord of half the...

...4,768£ feet. Find its length and breadth. 592. How do you find the area of a trapezoid? 593. Quote the rule for finding the area of a triangle when the three sides only are given. 594. Quote the rule for finding the area of a circle. 595. When the solidity of a cube...

...multiply the base by the height, and divide the product by two. 580. The following is a convenient rule for finding the area of a triangle when the three sides are given, but the reasons for it cannot be explained without more geometry than can well be introduced here :...

...the ingenious teacher can readily devise whatever means may be needed for his own class. The rules for finding the area of a triangle when the three sides are given, the area of a circle, the volumes of pyramids, cylinders, casks and spheres must, in arithmetic, be...

...the ingenious teacher can readily devise whatever means may be needed for his own class. The rules for finding the area of a triangle when the three sides are given, the area of a circle, the volumes of pyramids, cylinders, casks and spheres must, in arithmetic, be...

...24, carry one, and 9 times 8 are 72, putting down 7,224 as the product. 72. Here is a very excellent rule for finding the area of a triangle when the three sides are given : From half the sum of the three sides subtract each side separately, multiply the half-sum and the...

...involution and evolution of logarithms performed? 2. Demonstrate the correctness of the arithmetical rule for finding the area of a triangle when the three sides are given. 3. How can the distance between two inaccessible objects be determined? 4. In a right-angled spherical...

...during the first week's work in algebra. A simple application of algebra to mensuration is that of finding the area of a triangle when the three sides are given. Let us take the triangle whose sides are 13, 20, 21. Let x = CD. Then 20— x = DA. From the right...

...writer. It is often given in geometry, but the proof by trigonometry is much simpler. A special case of finding the area of a triangle when the three sides are given is that in which the radius of the circumscribed circle or the radius of the inscribed circle is also...

...c) when a = 16, 6=12, c = 20, and s = \(a+b+c). Ans. 96. NOTE. The formula of Problem 20 is used in finding the area of a triangle when the three sides are given, it is explained in detail in a later chapter. 21. Evaluate: A — Vs(s — a)(s — 6)(s— c) when...