...and the perpendicular from the vertex of the right angle to the hypotenuse. 77. In a right triangle the perpendicular from the vertex of the right angle to the hypotenuse is 2 (/?) and the ratio of the segments of the hypotenuse is 4: 9(m: ri). Find the area of the triangle....

...the other two sides of the triangle. 6. The legs of a right-triangle are 5 and 12; find the length of the perpendicular from the vertex of the right angle to the hypotenuse, and the lengths of the segments into which the perpendicular divides the hypotenuse. c 8. Prove that...

...If two plane triangles are similar, their corresponding sides are proportional. In a right triangle, the perpendicular from the vertex of the right angle to the hypotenuse is a mean proportional be- / tween the segments of the hypotenuse: *— p 2 = mn. Any two similar figures,...

...If two plane triangles are similar, their corresponding sides are proportional. In a right triangle, the perpendicular from the vertex of the right angle to the hypotenuse is a mean proportional between the segments of the hypotenuse: p2 = mn. Any two similar figures, in...

...If two plane triangles are similar, their corresponding sides are proportional. In a right triangle, the perpendicular from the vertex of the right angle to the hypotenuse is a mean proportional between the segments of the hypotenuse: p2 = mn. Any two similar figures, in...

...length of the altitude. Ex. 705. If the two arms of a right triangle are 6 and 8, compute the length of the perpendicular from the vertex of the right angle to the hypotenuse. PROPOSITION XXVI. PROBLEM 445. To construct a mean proportional between two given lines. m / %4' W>...

...mutually equiangular; therefore they are similar. c Why? Why? 162. Corollary 1. In any right triangle the perpendicular from the vertex of the right angle to the hypotenuse is the mean proportional between the segments of the hypotenuse. Proof. The A ADC, CDB being similar,...

...equiangular ; therefore they are similar. FIG. 118. Why? Why? 162. Corollary 1. In any right triangle the perpendicular from the vertex of the right angle to the hypotenuse is the mean proportional between the segments of the hypotenuse. Proof. The A ADC, CDB being similar,...

...The sides of a right triangle are G inches, 8 inches, and 10 inches respectively. Find the length of the perpendicular from the vertex of the right angle to the hypotenuse. (See Exercise 22, p. 237.) 33. Find the distance from the middle of the hypotenuse of the triangle...

...One side of a right triangle is 27.5 and the adjacent acute angle is 54° 38'. Compute the length of the perpendicular from the vertex of the right angle to the hypotenuse, and the segments into which the hypotenuse is divided. 9. Solve the preceding problem, using a for...