Question

Draw an equilateral triangle of altitude 4 cm. Construct another triangle similar to it such that its side are 2/3:the given triangle

Pls ANS THE QUESTION

Answer 1

draw a line AB of 4cm then make an acute angle from B nd decide it in 3 parts nd mark it as b1 b2 and b3 then join b3 to A and then draw a line parallel to b3 and A nd name it as D and then join D to a pt. E on an angle from B

Answer 2

Given : Altitude 4 cm.

To Find : Construct equilateral triangle

Solution:

Step 1 :  Draw line segment AD  = 4 cm

Step 2 :  Draw an acute angle DAX  

Step 3 : Take 3 points one by one at equal distance using suitable compass width

Step 4 : Join 3rd point with D

Step 5 : Draw a line parallel to line drawn in previous step passing through 2nd point and intersecting AD at O

Step 6 : Using Compass width = OA and taking O as center draw a circle

Step 7 : Draw a line pepepmdicular to AD at D and  intersecting circle at B and C

Step 8 : Join AB and AC

Here concept used =  Median intersection is center of circumcircle

Construct another triangle similar find 2/3 of side using the same concept as used above to find O  .  AO = (2/3) AD

Similarly (2/3) of any side can be found.

Another Method :

Step 1 : Draw line segment AD = 4 cm

Step 2 : Draw a right angle at D

Step 3 : Draw an angle of 30 deg at A on AD using protractor

Step 4 : Both angles intersects at B

Step 5 : Using compass width = BD and taking D as center , intersect extended BD at C

Step 6 : Join AC

Here concept use each angle of equilateral triangle = 60 deg and  altitude bisect the angle

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