Advertisement Remove all ads

Advertisement Remove all ads

Advertisement Remove all ads

Diagram

Sum

Draw a right triangle ABC in which BC = 12 cm, AB = 5 cm and ∠B = 90°. Construct a triangle similar to it and of scale factor `2/3`. Is the new triangle also a right triangle?

Advertisement Remove all ads

#### Solution

**Steps of construction:**

**1.** Draw a line segment BC = 12 cm,

**2.** From 6 draw a line AB = 5 cm which makes right angle at B.

**3.** Join AC, ΔABC is the given right triangle.

**4.** From B draw an acute ∠CBY downwards.

**5.** On ray BY, mark three points B_{1}, B_{2 }and B_{3}, such that BB_{1} = B_{1}B_{2} = B_{2}B_{3}.

**6.** Join B_{3} C.

**7.** From point B_{2} draw B_{2}N || B_{3}C intersect BC at N.

**8.** From point N draw NM || CA intersect BA at M. ΔMBN is the required triangle. ΔMBN is also a right-angled triangle at B.

Concept: Division of a Line Segment

Is there an error in this question or solution?