Question

draw triangle POR where the angles are in ratio 1:2:3 Draw triangle ABC similar to triangle PQR whose sides are 1/3 times the side of Triangle PQR​

Answer 1

draw triangle POR where the angles are in ratio 1:2:3...

• First we need to algebraically calculate the angle of each side of POR.
• Let's take x, 2x,3x as the angles.
• 3x+2x+x=180(angle sum)
• x=30
• 2x=60
• 3x=90
• Now you can use your protractor and construct these angles with random lengths.
• Now measure each length and divide it by 3.
• Keeping the angles the same, construct using a protractor another triangler similar to POR but 1/3rd in size.
• This is how it is done.

Answer 2

A triangle PQR with angles in the ration 1:2:3 are given by 30°, 60°, 90°.

• we know that, sum of angles in triangle =180°
• given ration of angles = 1:2:3
• let the angles be =x
• then the ratio is given by,
• x+2x+3x=180°
• 6x=180
• x=30°
• 2x=60°
• 3x=90°
• Now,
• The triangle PQR is similar to triangle ABC, with the sides 1/3 times the sides of the triangle PQR.
• If side of triangle PQR, that is, QR=6cm, then the side of triangle ABC, that is ,BC=2cm.