Question

how to draw a triangle if perimeter and 2 angle are given

that are p=12cm,angle =75 and45​

Answer 1

To draw triangle of

perimeter = 12cm

a + b + c = 12cm

angle = 75 and 45

let third angle be X

Solutions

We know that sum of angle of triangle

= 180

so

75 + 45 + X = 180°

X = 180° - 120°

X = 60°

Now taken angle xyz and side A,B and C

Now

Draw a line segment XY of length AB + AC + BC, that is, 15 cm.

From the point X, using the protractor construct ∠LXY which is equal to ∠B, that is, 75°.

From the point Y, construct ∠MYX which is equal to ∠C, that is, 45°.

Using the compass, construct the bisectors of ∠LXY and ∠MYX. Mark the point as A where the constructors meet.

Construct the perpendicular bisector of AX and name it as PQ.

Construct the perpendicular bisector of AY and name it as RS.

Let PQ meet XY at B and RS meet XY at C.

Join the points A and B as well as A and C.

Now Check the third angle is 60° by using protector .

Answer 2

Step-by-step explanation:

1. Draw a line segment PQ = AB + BC + CA = 12 cm.

2. Make ∠ LPQ= 45° and ∠ MQP = 60°

3. Now bisect ∠ LPQ and ∠ MQP such that their bisectors meet at A.

4. Draw perpendicular bisector of AP and AQ i.e. XY and ST intersecting PQ at B and C respectively.

5. Join AB and AC.