Question

DRAW TRIANGLE ABC. DRAW PERPENDICULARS FROM A,B,AND C

RESPECTIVELY ON THE SIDES BC, CA, AND AB. ARE THERE

PERPENDICULAR CONCURRENT(PASSING THROUGH THE SAME

POINTS​

Answer 1

Given : TRIANGLE ABC

To Find : DRAW PERPENDICULARS FROM A,B,AND C

RESPECTIVELY ON THE SIDES BC, CA, AND AB.

Solution:

Step 1 : Draw a line segment AB

Step 2 : Using suitable compass width and taking A as center draw an arc,

Step 3 : Using suitable compass width and taking B as center draw an arc such that it intersects arc drawn in previous step at C

Step 4 : Join AC and BC

Draw perpendicular from C to AB

Using suitable compass width and taking C as center draw an arc intersecting AB at G and H .

Using Suitable compass width and taking G and H as center draw arc intersecting at M

Draw a line pa ssing through C and M intersecting AB at   F

CF ⊥ AB

similarly draw AD ⊥ BC  and  BE ⊥ AC

Yes they pa ss through the same points.

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