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Answer 1

Answer:

draw the triangles with the measurement given in the following figure

The way of constructing a triangle is depending on the information given.

If you have to :

Construct a Triangle When one Sides and an Included two Angles are Given :

Here we are some steps, how to construct a triangle when two angles and one side is given.

To construct a triangle when two angles and one side is given, we must need the following mathematical instruments.

1. Ruler

2. Protractor

For example

if you are given with

XY = 6 cm

∠ZXY = 30°

∠XYZ = 100°

Step 1 :

Draw the line segment XY = 6cm.

Step 2 :

Using protractor, at X, draw a ray XP making an angle of 30° with XY.

Step 3 :

Using protractor, at Y, draw another ray YQ making an angle of 100° with XY. The rays XP and YQ intersect at Z.

Step 4 :

Using the property, "Sum of the three angles of any triangle is 180°", we can find the third angle which is 50°. That is, ∠Z = 50°.

Now, XYZ is the required triangle

OR

If you have to:

Construct a Triangle When Two Sides and an Included Angle are Given :

The way of constructing a triangle is depending on the information given.

Here we are some steps, how to construct a triangle when the lengths of two sides and the angle included are given.

To construct a triangle when the lengths of two sides and the angle included are given, we must need the following mathematical instruments.

1. Ruler

2. Compass

3. Protractor

The steps for the construction of a triangle, when the lengths of two sides and the angle included are given

for example:

Given measurements :

PQ = 4 cm

QR = 6.5 cm

∠PQR = 60°

Step 1 :

Draw the line segment QR = 6.5 cm.

(Here we take the longest side)

Step 2 :

Using protractor, at Q, draw a line QX making an angle of 60° with QR.

Step 3 :

With Q as centre, draw an arc of radius 4 cm to cut the line (QX) at P.

Step 4 :

Join PR.

Now, PQR is the required triangle

Step-by-step explanation:

hope it helps u