...Si t, 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 from...

...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 of a triangle is 40 yards and the perpendicular 20 yards : what...

...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 of a triangle is 40 yards and the perpen dicular 20 yards :...

...The side BC, 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, AB, of a triangle is 40 yards, and the perpendicular, CD, 20...

...PROBLEM. To find the area of a triangle, or a parallelogram, given two sides and the included angle. RULE. The area of a triangle is equal to half the product of the two given sides and the natural sine of the included angle. The area of a parallelogram is equal...

...Schol.); therefore the area of the parallelogram ABCD is equal to AB X AF. PROPOSITION VI. THEOREM. The area of a triangle is equal to half the product of its base by its altitude. For, complete the parallelogram ABCE. The triangle ABC is half of the parallelo- ^...

...altitude, then they will be to each other, as GEOMETRY. Areas of Triangles and Trapezoids. THEOREM IX. The area of a triangle is equal to half the product of its base by its altitude. Let AE C be any triangle and CD its altitude : then will its area be equal to half...

...other, as A x C : BxC: that is, as A : B. GEOMETRY. Areta of Triangles and Trapezoids. THEOREM IX. The area of a triangle is equal to half the product of its base by its altitude. Let ABC be any triangle and CD its altitude : then will its area be equal to half...

...side BC, or the side AC, opposite the right angle, is called the hypothenuse. The area or contents of a triangle is equal to half the product of its base by its altitude (Bk. IV. Prop. VI).* EXAMPLES. 1. The base, AB, of a triangle is 50 yards, and the...

...and the area equals fxy. If n=1, the figure becomes a triangle, and the area equals %xy; that is, the area of a triangle is equal to half the product of its base and perpendicular. Ex. 3. It is required to find the area of a circle. The equation of the circle, when...