SOLUTION: Verify that the points (0,0) and (a,0) and (a/2,a/2) form the vertices of a right triangle. Work in terms of a.

Question 64611: Verify that the points (0,0) and (a,0) and (a/2,a/2) form the vertices of a right triangle. Work in terms of a.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Verify that the points P(0,0) and Q(a,0) and R(a/2,a/2) form the vertices of a right triangle. Work in terms of a.
DISTANCE AB WHERE A IS(X1,Y1) AND B IS (X2,Y2)=D
D^2=(X2-X1)^2+(Y2-Y1)^2...SO
PQ^2=A^2+0=A^2
QR^2=(A/2)^2+(A/2)^2=2*A^2/4=A^2/2
PR^2=(A/2)^2+(A/2)^2=A^2/2
HENCE PQ^2=QR^2+PR^2
HENCE PQR IS R.A.T.WITH ANGLE PRQ=90
RELATED QUESTIONS
Please help! Verify that the points (0, 0) and (a, 0) and (a/2,a/2) form the vertices of... (answered by venugopalramana)

Verify that the points (0,0), (a,0), and (a/2, square root3a/2) are the vertices of an... (answered by robertb)

: Show that the points, A(0, 0), B(0, 4), and C(4, 0) are the vertices of a right... (answered by greenestamps)

Verify that the points (0,0), (a,0) and (c,d) are the vertices of an equilateral... (answered by textot)

show in a new way that the points (-1 -2), (5 4), (-3 0) are the vertices of a right... (answered by ewatrrr)

show in a new way that the points (-1 -2), (5 4), (-3 0) are the vertices of a right... (answered by ikleyn,blaser411,robertb)

Verify that the points (0,0),(a,0) and (a/2, square root symbol "I don't know how to type (answered by MathLover1)

Writing to Learn Equidistant Point from Vertices of a Right Triangle Prove that the... (answered by stanbon,ikleyn)

Plot each point and from the right triangle ABC. Verify that the triangle is a right... (answered by MathLover1)