Like the triangle inequality, can you form a rule that describes the two angles. Class 7

Like the triangle inequality, can you form a rule that describes the two angles. Class 7

Question 1.

Like the triangle inequality, can you form a rule that describes the two angles for which a triangle is possible?

Can the sum of the two angles be used for framing this rule? Class 7

Solution:

Yes. Sum of the two angles should be less than 180°.

Question 2.

What could the measure of the third angle be? Does this measure change if the base length is changed to some other value, say 7 cm? Construct and find out. Class 7

Solution:

Third angle = 180° - (60° + 70°)

= 180° - 130° = 50°.

No. Do as directed.

Question 3.

In general, once the two angles are fixed, does the third angle depend on the included sidelength? Try with different pairs of angles and lengths. Class 7

Solution:

No. Do as directed.

Question 4.

Try experimenting with different triangles to see if there is a relation between any two angles and the third one. To find this relation, what data will you keep track of and how will you organise the data you collect? Class 7

Solution:

We shall collect the data having any two angles along with a side included between these two angles. Then, we construct the corresponding triangles and measure the third angle.