# RELATIONSHIP BETWEEN SIDE LENGTHS AND ANGLES WORKSHEET

Problem 1-5 : To try to trick you, the following triangles are not drawn to scale. State the largest side of each triangle.

Problem 1 : Problem 2 : Problem 3 : Problem 4 : Problem 5 : Problem 6 :

The following triangle is not drawn to scale. State the smallest side.   By observing the figure above,

∠C  =  85°,  it is the largest interior angle.

We know that the longest side is always opposite the largest interior angle.

So, the largest side is AB. By observing the figure, the measure of C is not given. So we have to find ∠C.

We know that, the sum of the interior angles of a triangle is 180˚.

A + B + C  =  180°

52° + 103° + ∠C  =  180°

155°+ ∠C  =  180°

Subtract 155° from both sides.

C  =  25° Now, both mA and mC are less than m<B.

B = 103°, it is the largest interior angle.

So, the largest side is AC. By observing the figure, the measure of A is not given.

To find A,

A + B + C  =  180°

A + 38° + 17°  =  180°

A + 55°  =  180°

Subtract 55° from both sides.

A  =  125° Now, both m∠B and mC are less than mA.

∠A = 125°, it is the largest interior angle.

So, the largest side is BC. By observing the figure, the measure of A is not given.

To find A,

A + B + C  =  180°

A + 32° + 32°  =  180°

A + 64°  =  180°

Subtract 64° from both sides.

A  =  116° Now, both mB and mC are less than mA.

A = 116°, it is the largest interior angle.

So, the largest side is BC. By observing the figure, the measure of B is not given.

To find B,

A + B + C  =  180°

120˚ + ∠B + 7˚  =  180˚

B + 127°  =  180°

Subtract 127° from both sides.

∠B  =  53° Now, both mB and mC are less than mA.

A = 120°, it is the largest interior angle.

So, the largest side is BC. By observing the figure, the measure of B is not given.

To find B,

A + B + C  =  180°

78° + ∠B + 24°  =  180°

B + 102°  =  180°

Subtract 102° from both sides.

B  =  78° The smallest angle is C, the side which is opposite to smaller angle is AB. So, the smallest side is AB.

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