...line because I know that the square described on the hypothenusc of a right angled triangle is equal to the sum of the squares described on the other two sides." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"...

...line because I know that the square described on the hypothenuse of a right angled triangle is equal to the sum of the squares described on the other two sides." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"...

...homologous lines of the polygons. PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two tides. U Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,...

...side into parts proportional to the other two sides. Give proof. 5. Prove that the square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. 6. Given two similar polygons, to construct one similar to them both and...

...H CBI PROPOSITION XI. THEOREM. In any right-angled triangle the square described on the hypothenuse is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle BAC ; the square described upon the side...

...furnishes another proof of the Pythagorean proposition (66). THEOREM XL. 91. Any figure described on the hypothenuse of a right triangle is equivalent to the sum of the similar figures whose homologous sides are the other sides of the triangle. Let P represent any figure...

...equation, then — = GEOMETRY. BOOK IV. ANOTHER DEMONSTRATION. 333. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Let A£C be a light A, having the right angle £AC. We are to prove El? = JO2...

...55. 4. Proposition. — The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Draw a right-angled triangle, ABC, with the side BC 4 in., and the side AC 3 in.; then, the side AB...

...sum of the squares AK and B O. Therefore : The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. 178 The EeUcttf, Teacher. -^ i W| HI ^? W-5 ^s fif ai "<» 2S£| ->H JH •& J " c cs o .1...

...PROPOSITION. Theorem. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. HYPOTH. In the triangle ABC ZB AC = R. To HE PROVED. BC- / \ n PROOF. On the sides of the triangle...