Question

Try to construct a triangle with 5cm, 8cm and 1cm. Is it possible or not? Why? Give your justification?

Answer 1

Dear student,

Answer: Impossible to construct Δ with given sides.

Reason:

To construct a triangle, normally these conditions are given

→ we have at least one angle and two sides

→ Two angles and one side

For constructing triangle only with three sides ,check the condition as follows:

Step 1: Take any three length.

Step 2: Check the sum of any two sides, if it is greater than third side ,then

construction of that Δ is possible,otherwise not.

Given length1: AB: 5 cm,Let us assume triangle ΔABC

Length 2:BC = 8 cm

length 3:AC = 1 cm

So,now check to add any two sides

AB+BC = 5+8 = 13 >AC

AB+AC = 5+1 = 6 < BC ∴ CONDITION FAILS

BC+AC = 8+1 =9 >AB

so,impossible to construct that triangle.

hope it helps you.

Answer 2

Answer:

Hi friends here your answer

Step-by-step explanation:

As the sum (6cm)of two sides 5cm and 1cm is less than third side . Is is not possible to construct a triangle with given measurements. because the sum of two sides of a triangle is greater than the third angle. so it is not possible to construct by this measurements . by brainly