...triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle. 4. If squares be described on the sides of any triangle, and the angular points be joined, the sum...

...find the area of a¿ acute ang'ed ti'iangle. .RuZe.—Multiply the length of the longest side by half the perpendicular let fall upon it from the opposite angle, and the product will be the area. Having the baee and pe¿pendiouZar of a ¿ig1¿t angled triangle, to find...

...side subtending either of the acute angles is less than the squares of the sides containing that acute angle by twice the rectangle contained by either of...upon it from the opposite angle and the acute angle. CONS.— 12. 1., Pst. 2. DEM. — 7- II. If a at. line be divided into any two parts, the squares of...

...In every triangle the square of the side subtending an acute angle is less than the squares of the sides containing that angle by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular lot fall upon it from the opposite angle. If four straight lines...

...triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of those sides and the straight line intercepted between the acute angle and the perpendicular let fall...

...triangle, the square on the side subtending any of the acute angles is less than the squares on the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle. Given any triangle ABC, and the angle at B one of its acute angles, and upon BC, one pf the sides containing...

...triangle, the square on the side subtending either of the acute ungles, is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let AB C be any triangle,...

...square on a side opposite an acute angle is less than the sum of the squares on the other two sides, by twice the rectangle contained by either of these sides, and the distance from the vertex of the acute angle to the foot of the perpendicular let fall on this side,...

...triangle the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle...upon it from the opposite angle and the acute angle. In any triangle shew that the sum of the squares of the two sides is equal to twice the square of half...

...show that the square of the side subtending one of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall...