Draw a right triangle with sides (other than hypotenuse) of lenghts 5 cm and 6 cm.
Then construct another triangle similar to this triangle with scale factor 4/5.
Answers
Step-by-step explanation:
Given , a right angled ∆ABC , in which BC=4cm,AB=3cm .
Here scale factor=
3
5
>1
Steps of construction:
1. Draw a line segment BC=4cm.
2. At B draw ∠B=90° and cut off BA=3cm 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 B
1
,B
2
,B
3
,B
4
& B
5
on BY such that BB
1
=B
1
B
2
=B
2
B
3
=B
3
B
4
=B
4
B
5
.
6.Join B
3
C and from B
5
draw B
5
C’∣∣B
3
C intersecting BC at C’.
7. From point C’ draw C’A’∣∣CA intersecting AB at A’.
Thus, ∆A’BC’ is the required triangle whose sides are
3
5
of the corresponding sides of ∆ABC.
Answer:
First draw a line of length 6 cm. Then draw a perpendicular at its end and mark 90°.Tyen use compass to cut the perpendicular using 5 cm.