Question

construct a triangle ABC in which bc is equal to 5.6 cm and ac - ab equal to 1.6 cm and angle b 45 degree​

Answer 1

bc=5.6 cm(base)

take point 'B' construct 90° and bisect it

Answer 2

The construction of ∆ABC is attached in the figure.

Given:

• ∆ABC
• BC=5.6 cm and AC-AB=1.6 cm
• $\angle B$=45°

To find:

• Construction of ∆ABC

Solution:

Steps of construction:

1. Draw base BC of 5.6 cm with the help of scale and pencil.
2. Draw 45° angle at point B with the help of protector/compass.
3. Mark an arc of AC-AB=1.6 cm on line of 45° extended towards downward direction, mark that point D;as shown in figure.
4. Join D and C.
5. Made a perpendicular bisector of DC,it cuts angle 45° line,mark that point as A.
6. Join A to C.
7. Thus, construction of ∆ABC has done.

Verification:

On measurement

AC=4.2 cm

AB= 2.6 cm

Thus,

AC-AB=4.2-2.6=1.6 cm

Learn more:

1) Construct a triangle XYZ in which YZ=5 CM. XZ-XY=2.5 CM. angleY= 75°

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2) construct a triangle ABC in which AC=6.2 cm

, ∠C=60° and AB-BC = 2.5 cm

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