Use the Hinge theorem and its converse and solve the following

What is the possible measure of ∠ACB?

5x + 6 < 76
5x < 70
x < 14

Write a contradictory assumption for “if in ∆XYZ, ∠X = 60°, ∠Y = 60°, then ∆XYZ is an equilateral triangle.”

If in triangle XYZ , Y=60 and X=60, then triangle XYZ is not an equilateral triangle.

Write a contradictory assumption for “if in ∆XYZ, ∠X = 60°, ∠Y = 60°, then ∆XYZ is an equilateral triangle.”

If in triangle XYZ , Y=60 and X=60, then triangle XYZ is not an equilateral triangle.

Write the contradictory assumption for “if a and b are even numbers, then a + b is an even number.”

What is the temporary assumption to prove that A is an obtuse angle by proof of contradiction?

What is the temporary assumption used to prove that “If a + b ≠ 18, and a = 16 then b ≠ 2”?

In the given figure AB = CD,

If ∠CAB > ∠DCA then,

In the given figure AB = CD,

If AD > BC then,

Indirect proof is also called ____

If G is the centroid of triangle ABC,

Find GD.

Centroid divides a median in the ratio 2:1

If G is the centroid of triangle ABC,

Find GD.

Centroid divides a median in the ratio 2:1

If G is the centroid of triangle ABC,

Find BG.

BE= 12
$table attributes columnspacing 1em end attributes row cell B G space equals space 2 over 3 space B E end cell row cell equals 2 over 3 space cross times space 12 end cell row cell equals space 8 end cell end table$

If G is the centroid of triangle ABC,

Find BG.