Draw an equilateral triangle ABC of each side 4 cm. Construct a triangle similar to it and of scale factor 3/5. Is the new triangle also an equilateral
Solution:
1. Construct a ray AX from A which makes an acute angle ∠BAX with the base AB.
2. Let us mark 5 points A1, A2, A3, A4, A5 on AX where AA1 = A1A2 = A2A3 and so on.
3. Join A5B and from the point A5 construct a line A3B1||A5B which intersects AB at B1
4. Construct B1C1 || BC which intersects AC at C1.
It is the required triangle whose sides are 3/5 of corresponding sides of triangle ABC
Yes, the new triangle is also an equilateral.
Therefore, the new triangle is also an equilateral.
✦ Try This: Draw an equilateral triangle ABC of each side 5 cm. Construct a triangle similar to it and of scale factor 7/5. Is the new triangle also an equilateral?
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 11
NCERT Exemplar Class 10 Maths Exercise 10.3 Sample Problem 1
Draw an equilateral triangle ABC of each side 4 cm. Construct a triangle similar to it and of scale factor 3/5. Is the new triangle also an equilateral
Summary:
Drawing an equilateral triangle ABC of each side 4 cm, a triangle similar to it is constructed of scale factor 3/5. The new triangle is also an equilateral
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