...8 ft. X 2 = 16 sq. ft. Fig. 24. Prob. Hi — The sides of a triangle being given to find the area. Rule. — From half the sum of the three sides subtract each side separately, then multiply the continued product of these remainders by half the sum of the sides, and...

...base, the quotient is the height. 152. The three sides of a triangle being given, to find the area. RULE. From half the sum of the three sides subtract each side separately ; multiply the half sum and the three remainders together : the square root of the product...

...or ^RR 15.30103 J ' -""-""~",l, Log. 4.332 . 0.63664 4 1.328 .J0 ARP 13.120 Ans. 4 1 13 PROBLEM HI. To find the area of a triangle when the three sides are given. From the half sum of the three sides subtract each side separately, add together the logarithms of...

...— Square the sides ; the area required is to the area given as the squares of the like sides. 13. To find the area of a triangle when the three sides are given, — Subtract each side separately from half the sum of the sides : multiply together the three remainders...

...it makes the corner a true right-angle. To find the area of any triangle when the three tides only are given. RULE. — From half the sum of the three sides subtract each side severally; multiply these three remainders and the said half sum continually together ; 'hen the square root of the last...

...log sin $A = £ [log ($s — b) + log (£« — c) + (ac) log b + (a, c.) log c]. (3.) Third Case. To find the area of a triangle, when the three sides are given. Let ABC represent a triangle B whose sides a, b, and c are given. From the principle demonstrated in...

...have, log sin $A = $ [log (}« — b) + log (J* — c) + (ac) log b + (ac) log c]. (3.) Third Case. To find the area of a triangle, when the •three sides are given. Let AJBC represent a triangle whose sides a, b, and c are given. From the principle demonstrated in...

...feet, the altitude 153 feet. Ans. — 1 acre, 0 roods, 23 sq. poles, 6£ sq. yards. Problem 9. 343. To find the area of a triangle, when the three sides are known. Rule. — Add the three sides ; from the half sum subtract each side separately ; the area will...

...and two triangles are to each other as the products of their bases by their altitudes. PROP. IV. — To find the area of a triangle, -when the three sides are given. In the triangle ABC, let BC = a, AC = b, AB = c. It is required to find the area. Let / denote the-...

...respectively, and their included angle is 85° 40" 20" ; what is the area. Ans. 428470. 102. Problem. To find the area of a triangle when the three sides are given. By the last problem we find (1) k = \ be sin A, (2) sin A = 2 sin \ A cos \ A. Article 95, (5). (3)...