Question

Draw αΔ ABC.
Bisect Z B and name the point
of intersection of AC and the
angle bisector as D.
Measure the sides.
AB= □cm BC = □cm
AD = □cm DC=□cm
• Find ratios AB/BC and AD/DC

You will find that both the ratios are almost equal.
• Bisect remaining angles of the triangle and find the ratios as above. You
can verify that the ratios are equal.​

Answer 1

Verified the angle Bisector Theorem

Step-by-step explanation:

Step 1 :  Draw a  line segment BC

Step 2 :  Using compass taking width = AB & taking B as center draw an arc

Step 3 : Taking compass width =AC & taking C as center draw an arc such that it intersect arc drawn in step 2 at A

Step 4 : Join AB   & AC

triangle ABC is constructed

Bisecting angle B

Step  1 : Using Compass suitable Width taking B as center  draw arc such that it intersect BC at P & BA at Q

Step  2 :  Now again taking Suitable width of compass and taking P & Q as center Draw arcs intersecting each other at R

Step 3 :  join BR and extend the line such that it intersect AC at D

Let  say AB = 6 cm   BC  = 6cm

             AD =  3cm   DC = 3 cm

AB/BC = 6/6 = 1

BC/DC = 3/3 = 1

This is also called angle bisector theorem

Same way can be done for other angles

Learn More:

AD is the bisector of BAC, if AB = 10 cm, AC = 6 cm and BC = 12 cm ...

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Answer 2

Step-by-step explanation:

in above photos your answer is there..

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