two line segments AB and AC include an angle of 60 degree where AB=5cm and AC=7cm Locate points Pand - Maths - Constructions

Question

two line segments AB and AC include an angle of 60 degree where
AB=5cm and AC=7cm Locate points Pand Q on AB and AC respectively
such that AP=3/4AB and AQ=1/4 AC Join P and Q and measure the
length PQ

priyanka saggu · Accepted Answer

<img alt="" src=
"https://img-nm%20mnimgs%20com/img/study_content/content_ck_images/images/triangle%2019%20png"
style="height: 120px; width: 280px;">Steps Of
Construction:a) Draw AB =5cm Draw ∠BAX = 60° b) Cut the ray
AX at C Such that AC =7cm c) As, AP = 34 of AB tthat is we need to
divide AB in the ratio of 3:1 i) Draw an acute ∠BAY below the
line AB ii) Mark 4 equal arcs on the ray AY (A1, A2, A3, A4)iii)
Join A4B then Draw a line A3P parallel to A4B which cuts AB at P d)
As, AQ = 14 AC that is we need to divide AC in the ratio of 1:3
Please follow the same steps as from (i) to(iii)e) Join PQ and then
measure it's length

two line segments AB and AC include an angle of 60 degree where AB=5cm and AC=7cm. Locate points Pand Q on AB and AC respectively such that AP=3/4AB and AQ=1/4 AC. Join P and Q and measure the length PQ.