Question

C construct an isosceles triangle ABC whose base BC 4 cm and each base angle is equal to 45 draw a perpendicular bisector of base does it passes through a

Answer 1

Δ ABC is constructed  where BC 4 cm base angle is equal to 45°  and perpendicular bisector of Base BC drawn

Step-by-step explanation:

Step 1 : Draw a line segment BC = 4 cm

Step 2 : Draw an angle of 45° using Protector at B

Step 3: Draw an angle of 45° using Protector at C such that it intersect angle drawn in step 2 at A

Δ ABC is constructed

to Draw perpendicular bisector of base BC

Step 1 : Take a Length slight less than BC and draw arc on both sides of BC using Compass and taking B as center

Step 2: Keeping same length of compass and Taking C as center draw arc such that it intersects earlier drawn arcs at P & Q

Step 3 : join P & Q such that it intersect BC at M

PQ is perpendicular bisector of BC

and it passes through A

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Answer 2

$\triangle ABC$ is the required triangle and $DE$ is the bisect line of $BC$ which pass through $A$

Step-by-step explanation:

Given,

Construct an isosceles $\triangle ABC$ whose base $BC=4\ cm$ and each base angle is equal to $45\ degree$

Following steps:

• Draw a base line $BC=4\ cm$ using scale.
• At $B\ and\ C$, draw two angle $45\ degree$ using protector such that $\angle CBX=\angle BCY=45\ degree$  
• The line $BX\ and\ CY$ intersect at $A$  
• Take $B$ as center and more then length of half of $BC$ as radius, draw two arc above and below.
• By same radius and $C$ as center, draw two arc which intersect the before arc at $D\ and\ E$
• Join $DE$ which passes through $A$

Hence, $\triangle ABC$ is the required triangle and $DE$ is the bisect line of $BC$ which pass through $A$