Question

Construct a triangle ABC in which AB=6cm and angle A= 45 degree and angle C= 75 degree. ​

Answer 1

Answer:

Hyyy frnd

here is your solution =

A triangle ABC

In which AB= 6cm (Given)

Angle A = 45°

Angle B = ?

Angle C = 75°

We have to find angle B

Now,

Angle A + Angle B + Angle C = 180° ( Angle sum property of triangle )

45° + Angle B + 75° = 180°

45°+75° = 120°

Angle B = 180° - 120°

Angle B = 60°

Angle A + Angle B + Angle C = 180° ( Angle sum property of triangle )

45° + 60° + 75° = 180°

Hence proved

Answer 2

By angle sum property,

∠A + ∠B + ∠C = 180°

⇒ ∠B = 180° - 120° = 60°

Now, construction:- (see image 2 adjoined above)

[Always make it's rough diagram in the top right corner.]

Steps:-

1. Draw a line segment of 6 cm and name it as AB.
2. From A, draw an angle of 45° and extend it to X.
3. Similarly, draw an angle of 60° measurement from B and extend it to Y.
4. Let them intersect at C.

∴ △ABC is required.