Determine whether QRS is a right triangle for the given vertices. Explain.
Q(12, 15), R(18, 15), S(12, 7)
A. yes; QR = , QS = , RS = ; RS^2 + QS^2 = RQ^2
B. no; QR = , QS = , RS = ; QR^2 + QS^2 ≠ RS^2
C. yes; QR = , QS = , RS = ; QR^2 + QS^2 = RS^2*
D. no; QR = , QS = , RS = ; RS^2 + QS^2 ≠ RQ^2
2 answers
looks good
On QR, the x co-ordinate increases from 12 to 18 while the y co-ordinate
remains constant at 15. Therefore, QR is a horizontal line.
On QS, the x co-ordinate remains constant. therefore, QS is a vertical line.
So QR and QS are perpendicular and form a rt. angle. Therefore, we have
a rt. triangle with hyp. RS.
remains constant at 15. Therefore, QR is a horizontal line.
On QS, the x co-ordinate remains constant. therefore, QS is a vertical line.
So QR and QS are perpendicular and form a rt. angle. Therefore, we have
a rt. triangle with hyp. RS.
1 answer