Question

b) Construct a triangle ABC in which AB=5 cm, BC=7 cm and
<B= 60° construct triangle, such that each side of the new
triangle is 5/4 of the triangle ABC.​

Answer 1

The construction will be as follows and new triangle is 5/4 times the old one.

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Answer 2

Triangle A'BC' is the required triangle.

Step-by-step explanation:

1. Draw a line segment BC = 7 cm. Draw an arc of any radius while taking B as centre. Let it intersect line BC at point O. Now taking O as centre draw another arc to cut the previous arc at point O'. Joint BO' which is the ray making 60° with line BC.
2. Now draw an arc of 5 cm. radius, while taking, B as centre, intersecting extended line segment BO' at point A. Join AC. Triangle ABC is having AB = 5 cm.
3. draw a ray BX making an acute angle with BC on opposite side of vertex A.
4. Locate 5 points  B1, B2, B3, B4, B5 on line segment BX.
5. Join B5C and draw a line through B4, parallel to B5C intersecting BC at C'.
6. Draw a line through C' parallel to AC intersecting AB at A'. Triangle A'BC' is the required triangle.

#Learn more:

Construct a triangle ABC in which AB = 3Ccm and BC= 5 cm and Ca = 6 cm .Construct a triangle A'BC' similar to triangle ABC with BC' = 7cm

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