...B' C' = 36, what is the area of ABC? 268. PROPOSITION XI. Fig. Given: AS ABC and A. B' C' any 2 AS having an angle of one equal to an angle of the other. To Compare—ABC and A B' C'. Sug. Compare ABC and A B' C. Compare A B' C and A B' C'. Express these...

...Find the dimensions of a rectangle whose area is 1(58, and perimeter 52. PROP. VIII. THEOREM. 321. Two triangles having an angle of one equal to an angle...products of the sides including the equal angles. Given ZA common to A ABC and AB'C'. To Prove ABC_=ABxAC. AB'C" AB'xAC' Proof. Draw line B'C. Then....

...triangles compare with the ratio of the products of the sides that include their equal angles? Theorem, Two triangles having an angle of one equal to an angle...each other as the products of the sides including tl1e equal angles. Data: Any two triangles, as ABC and DEC, having the common angle C. To prove Proof....

...triangles compare with the ratio of the products of the sides that include their equal angles? Theorem. Two triangles having an angle of one equal to an angle...each other as the products of the sides including tlie equal angles. Data: Any two triangles, as ABC and DEC, having the common angle C. To prove &ABC:&DEC...

...of its bases multiplied by the altitude. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other...products of the sides including the equal angles. 412. The areas of two similar polygons are to each other as the squares of any two homologous sides....

...AREAS OF POLYGONS. PROPOSITION VII. THEOREM. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other...products of the sides including the equal angles. Let the triangles ABC and ADE have the common angle A. A ABC ABxAC To prove that Proof. Now A ADi:...

...the polygon. D PROPOSITION VII. THEOREM. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other...products of the sides including the equal angles. To prove that Proof. A Let the triangles ABC and ADE have the common angle A. A ABC -AB X AC Now and...

...of the bases. 14 Prove that the areas of two triangles which have an angle of the one supplementary to an angle of the other are to each other as the products of the sides including the equal angles. L5 The radius of a circle is a ; show how to construct a contric circle whose area will be three times...

...sq. in. ? PBOP. XXI. THEOREM. 523. Two tetraedrons haviny a triedral angle of one equal to a triedral angle of the other, are to each other as the products of the edges including the equal triedral angles. 0' Given V and V the volumes of tetraedrons 0-ABC and 0-A'B'C',...

...658. The volumes of two triangular pyramids, having a trihedral angle of the one equal to a trihedral angle of the other, are to each other as the products of the three edges of these trihedral angles. Let V and V denote the volumes of the two triangular pyramids...