Right triangle pqr is to be constructed in the xy-plane so that the right angle is at p and pr is parallel to the x-axis. the x- and y-coordinates of p, q, and r are to be integers that satisfy the inequalities -4 < = x < = 5 and 6< = y< = 16. how many different triangles with these properties could be constructed?

(a) 110
(b) 1,100
(c) 9,900
(d) 10,000
(e) 12,100

(C) 9900

Step-by-step explanation:

The right triangle which right angle is at P and PR is parallel to the x-axis can have 4 sets (A,B,C,D as illustrated) of format depends on which direction is the right angle located.

each set have

(1+2+3+4+5+6+7+8+9) x (1+2+3+4+5+6+7+8+9+10) = 45 x 55 = 2475 right triangles

4 sets: 2475 x 4 = 9900

squares, rhombus, rectangles

answer: asdfghjkl,mnbv

step-by-step explanation: