MEDIUM
7th Telangana Board
IMPORTANT
Earn 100

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Construct a triangle with the same measurements given in the above example, taking PQ as the base. Are the triangles congruent?

Important Questions on Construction of Triangles

HARD
7th Telangana Board
IMPORTANT
Construct a PET, PE=4.5 cm, ET=5.4 cm and TP=6.5 cm in your notebook. Now construct ABC, AB=5.4 cm, BC=4.5 cm and CA=6.5 cm on a piece of paper. Cut it out and place it on the figure you have constructed in your notebook. Are the triangles congruent? Write your answer using mathematical notation.
MEDIUM
7th Telangana Board
IMPORTANT
Construct ABC in which AB=5.5 cmBC=6.5 cm and CA=7.5 cm 
MEDIUM
7th Telangana Board
IMPORTANT
Construct NIB in which NI=5.6 cmIB=6 cm and BN=6 cm. What type of triangle is this?
MEDIUM
7th Telangana Board
IMPORTANT
Construct an equilateral APE with side 6.5 cm.
MEDIUM
7th Telangana Board
IMPORTANT

Construct a XYZ in which XY=6 cmYZ=8 cm and ZX=10 cm. Using a protractor find the angle at Y. What type of triangle is this?

MEDIUM
7th Telangana Board
IMPORTANT

Construct a ABC in which AB=6 cmBC=7 cm and CA=3 cm. Which type of triangle is this?

MEDIUM
7th Telangana Board
IMPORTANT
Construct PEN with PE=4 cm, EN=5 cm and NP=3 cm. If you draw circles instead of arcs how many points of intersection do you get? How many triangles with a given measure are possible? Is this true in the case of every triangle?
MEDIUM
7th Telangana Board
IMPORTANT

Sushanth prepared a problem: Construct XYZ in which XY=2 cm, YZ=8 cm and XZ=4 cm.
He also drew the rough sketch as shown in Figure 1.

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Reading the problem, Srija told Sushanth that it would not be possible to draw a triangle with the given measurements. However, Sushanth started to draw the diagram as shown in Figure 2.

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Check whether Sushanth can draw the triangle. If not, why? Discuss it with your friends. What property of triangles supports Srija's idea?