co-ordinate geometry

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ahahkhyati.j: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Sat Oct 03, 2015 1:46 pm

by ahahkhyati.j » Thu Oct 15, 2015 7:17 am

Hi, Can someone please help me with this

Arrow AB which is a line-segment exactly 5 units long with an arrowhead at A, is to be constructed in the xy-plane. The x and y-coordinates are to be integers that satisfy the inequality 0<=x<=9 and 0<=y<=9. How many different arrows with this properties can be constructed?
(A) 50
(B) 168
(C) 200
(D) 368
(E) 536

Ans: E

I could figure out the horizontal and vertical ones but could not calculate the diagonal ones. Please help me with that
Thank you.

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Source: Beat The GMAT — Problem Solving | Thu Oct 15, 2015 7:17 am

MartyMurray: Legendary Member; Posts: 2135; Joined: Mon Feb 03, 2014 9:26 amFollowed by: 140 members; Location: https://martymurraycoaching.com/; Thanked: 955 times; GMAT Score:800

by MartyMurray » Thu Oct 15, 2015 9:06 pm

Right triangles with integer length sides and hypotenuses of length 5.

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