Question

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 .

Answer 1

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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