Illustrating Hinge,Unequal Sides and Unequal Angles Theorem | Baamboozle - Baamboozle

English 10 Public

Theorems on Triangle Inequality

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Refer to the given figure. What is the longest side in the ∆ABC?

In ΔTRU, TR = 8 cm, RU = 9 cm, and TU = 10 cm. Arrange the angles in ascending order.

∠U, ∠T, ∠R

What is the largest angle in the ∆RPQ? Refer to the given figure.

∠Q or ∠PQR

Refer to the given figure. Compare the two sides of the triangles. RT ___ VX.

RT > VX

Refer to the figure. Compare ∠1 with ∠2.

∠1 > ∠2

In △EDF, ∠E=30°, ∠D=125°, and ∠F=25°, arrange the sides in descending order.

EF, DF, ED

Refer to the given figure, compare: AB____BC.

AB < BC

What theorem states that "If one angle of a triangle is larger than the second angle, then the side opposite the larger angle is longer than the side opposite the second angle."?

Unequal Angles Theorem

Refer to the given figure. Compare: ∠H ___ ∠G.

∠H > ∠G

What theorem states that "If one side of a triangle is longer than the second, then the angle opposite the longer side is larger than the angle opposite the shorter side."?

Unequal Sides Theorem

Illustrating Hinge,Unequal Sides and Unequal An ...