HELP ME OUT!!!
Construct a triangle ABC with BC = 6.4 cm AC = 5.8 cm and angle ABC = 60 degree. Draw the incircle and measure and record the radius of the circle.
PLEASE DRAW CONSTRUCTION AND SHOW IT CLEARLY , AND ALSO WRITE MEASURE OF RADIUS OF INCIRCLE .
Answers
Given : BC = 6.4 cm AC = 5.8 cm and angle ABC = 60 °
To find : . Draw the Triangle and incircle
Solution:
Step 1 : Draw a line segment BC = 6.4 cm
Step 2 : Draw a Ray BX at an angle of 60° at B on BC using protractor
Step 3 : Using compass width = 5.8 cm and taking C as center , draw an arc intersecting ray BX at A
ΔABC is constructed BC = 6.4 cm ∠B = 60° AC = 5.8cm
Steps to Draw incircle :
Draw angle bisector of B & C which intersect at O
( Steps for angle bisector , using suitable width of compass and taking B as center cut BC & AB at P & Q . again taking suitable width of compass taking P & Q as center draw intersecting arcs at R . Join BR & draw a line
Similarly for angle C )
Taking O as center and taking suitable width of compass cut BC at D & E
Using suitable width taking D & E as center draw arcs intersecting at E
Join OE intersecting BC at M
Using compass width = OM & O as center draw a circle
in-circle is constructed
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