Question

Construct a right triangle in which sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle similar to this triangle whose sides are 5/3 times the corresponding sides of the first triangle.

Answer 1

Given , a right angled ∆ ABC , in which BC = 4 cm , AB= 3 cm .

Here scale factor= 5/3 >1
Steps of construction:
1. Draw a line segment BC =4 cm.
2. At B draw ∠B = 90° and cut off BA =3 cm from it.
3. Join AC. Thus ∆ABC is a given right angled Triangle.
4. Now from B draw a ray BY making an acute ∠CBY  on the side opposite to the vertex A.
5. Mark 5 points B1,B2,B3,B4 & B5 on BY such that BB1 = B1B2 = B2B3 = B3B4 =B4B5.
6.Join B3C and from B5 draw B5C’ || B3C intersecting BC at C’.
7. From point C’ draw C’A’ || CA intersecting AB at A’. Thus , ∆A’B’C’  is the required triangle whose sides are 5/3 of the corresponding sides of ∆ABC

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Answer 2

Answer:

A'BC' is the required triangle.

Step-by-step explanation:

Pls refer to the attachment given below

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