SOLUTION: Here is the problem I was given and cannot figure out how to start: Draw the locus of P so that AB is the hypotenuse of right triangle APB and A is the vertex of an angle that i

Question 57520: Here is the problem I was given and cannot figure out how to start:
Draw the locus of P so that AB is the hypotenuse of right triangle APB and A is the vertex of an angle that is less than 45 degrees.
Thank you!
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Here is the problem I was given and cannot figure out how to start:
Draw the locus of P so that AB is the hypotenuse of right triangle APB and A is the vertex of an angle that is less than 45 degrees.
Thank you!
DRAW AB THE HYPOTENUSE = SOME SUITABLE LENGTH SAY 5" OR 15 CM.(SINCE THE LENGTH IS NOT GIVEN)
NOW MARK 'O' THE MID POINT OF AB.FOR THIS PURPOSE YOU CAN DO AS FOLLOWS.
WITH A AS CENTRE AND A SUITABLE RADIUS (MORE THAN AB/2 LENGTH), DRAW ARC COVERING BOTH SIDES OF AB. WITH SAME RADIUS AND B AS CENTRE AGAIN DRAW AN ARC COVERING BOTH SIDES OF AB.LET THE 2 ARCS CUT AT Q AND R ON EITHER SIDE OF AB.JOIN QR.LET IT MEET AB AT 'O'.QOR IS PERPENDICULAR BISECTOR OF AB.
NOW WITH O AS CENTRE AND RADIUS EQUAL TO OA OR OB DRAW A CIRCLE.AB SUBTENDS 90 DEGREES AT ANY POINT ON THIS CIRCLE.BUT WE WANT ANGLE AT A TO BE LESS THAN 45.SO DRAW A 45 DEGREE LINE FRO A MAKING 45 DEREES WITH AB ON EITHER SIDE OF AB.LET IT CUT THE CIRCLE AT U AND V.
P LIES IN THE ARC 'UBV'.BY JOINING ANY POINT P ON THIS ARC WE GET APB TRIANGLE WITH AB AS HYPOTENUSE ...THAT IS ANGLE APB = 90 DEGREES AND ANGLE PAB LESS THAN 45 DEGREES.
RELATED QUESTIONS
In class we had to figure out how to solve problems bu using solving the sub-problem of... (answered by solver91311)

please help me to solve this problem; given two points A and B such that l(AB)=6. Find... (answered by josgarithmetic)

This is an Area Problem. The directions say:Find the dimensions of the rectangle or... (answered by jim_thompson5910,jonvaliente)

The three sides of a right angled triangle are x cm, (x + 17) and (x + 18). Form a... (answered by Alan3354)

I have story problems I have to get an equation for and solve. I try to draw out tables... (answered by ankor@dixie-net.com)

Please help me solve this; Given are two points A(-1,3) and B(3,9).(a) Show that... (answered by KMST)

I have a story problem that consists of 2 parts. I can't even begin to figure out the... (answered by ptaylor)

I have the problem that I cannot figure out. It was in a practice plus section of my... (answered by nerdybill)

Hello, I have a question that I am having a lot of trouble with. I'll give you the... (answered by solver91311)