Question

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 cons
in your note book. Are the triangles congruent? Write your answer
mathematical notation.​

Answer 1

constructed ∆PET &  ∆ABC     ∆PET ≅ ∆CBA

Step-by-step explanation:

Construct a ∆PET, PE = 4.5 cm, ET = 5.4 cm and TP - 6.5

Step 1 : Draw a line segment PE = 4.5 cm using ruler

Step 2 : Draw an arc using compass taking P as center & Radius = 6.5 cm

Step 3 : Draw an arc using compass taking E as center & Radius = 5.4 cm such that it intersect arc drawn in step 2 at T

Step 4: Join PT & ET

∆PET  is constructed

∆ ABC. AB=5.4 cm. BC =4.5 cm and CA-6.5 cm

Step 1 : Draw a line segment BC = 4.5 cm using ruler

Step 2 : Draw an arc using compass taking C as center & Radius = 6.5 cm

Step 3 : Draw an arc using compass taking B as center & Radius = 5.4 cm such that it intersect arc drawn in step 2 at A

Step 4: Join BA & CA

∆ABC is constructed

Yes the triangles congruent

∆PET ≅ ∆CBA

Learn more:

construct triangle ABC in which AB=4cm,BC=7cm and CA=3cm ...

https://brainly.in/question/13543475

Triangle RST~ TRIANGLE XYZ.In triangle RST, RS =4.5 cm, angle ...

https://brainly.in/question/8741564