...D=ABEF, and the area of ABCD==AB xB E, this being the measure of ABEF (100). 102. — The area of any triangle is equal to half the product of its base by its altitude — . By the altitude of a triangle we mean a perpendicular let fall from one of the vertices...

...being very small, differs insensibly from the straight line joining the points s, t ; and the area of a triangle is equal to half the product of its base, and the perpendicular from its vertex. Again, the angle t E s, being very small, the perpendicular...

...known. Solution. Let ABC (fig. 2.) be the triangle to be measured, and G the given side. The area of the triangle is equal to half the product of its base by its altitude, or Area of AB C = £ bp. But, by (203), sin. b : sin. B : : c : b, vrhence (391) sin. Fig....

...the altitude of the triangle. Each triangle BAD or DAC is called a right angled triangle. The side BA or the side AC, opposite the right angle, is called the hypothenuse.' The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base...

...portions of the circumference so small that they may be considered straight lines. The surface of each triangle is equal to half the product of its base by its altitude, the altitude being the radius ; the surface of all these triangles, then, or the surface...

...portions of the circumference so small that they may be considered straight lines. The surface of each triangle is equal to half the product of its base by its altitude, the altitude being the radius ; the surface of all these triangles, then, or The surface...

...the altitude of the triangle. Each triangle BAD or DAC is called a right angled triangle. The side BA or the side AC, opposite the right angle, is called the hypothenuse. Tfie area or content of a triangle is equal to half t]ie product of its base by its altitude. EXAMPLES....

...the altitude of the triangle. Each triangle BAD or DAC is called a right angled triangle. The side BA or the side AC, opposite the right angle, is called the hypothenuse. The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base...

...known. Solution. Let ABC (fig. 2) be the triangle to be measured, and c the given side. The area of the triangle is equal to half the product of its base by its altitude, or area of ABC = £bp. (273) But, by (130), sin. C : sin. B : : c : b, whence _ c sin. B...

...known. Solution. Let ABC (fig. 2) be the triangle to be measured, and с the given side. The area of the triangle is equal to half the product of its base by its altitude, or area of ABC = i bp. (273) But, by (130), sin. С : sin. В : : с : Ь, whence . с sin....