Question

construct an isosceles triangle whose base is 8cm and altitude is 4cm,then draw another triangle whose sides are3/2 times the corresponding sides of the isosceles triangle ( only construction).​

Answer 1

Answer:

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Answer 2

Steps of construction :-

• 1. Draw a base BC of length 8 cm.
• 2. Draw the perpendicular bisector of BC and name it PQ. Let it intersect BC in M.
• 3. From M, mark an arc A at a distance of 4 cm on PQ.
• 4. Join B−A and C−B. △ABC is the first isosceles triangle.
• 5. Extend BC and BA. Place the pointed end of the compass at C and mark an arc of radius CM on the opposite side of M on the extended segment BC. Mark the point as D (Since CM is half of BC, BD will be BC+0.5BC=1.5BC)
• 6. From D, draw a line parallel to AC and let it intersect the extended segment AB at E.

• △EBD is the required similar triangle

• Refer to the attachment for figure if you require.

Hope it helps you ✔️