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.
1. Answer :
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.
2. Answer :
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 m∠A and m∠C are less than m<B.
∠B = 103°, it is the largest interior angle.
So, the largest side is AC.
3. Answer :
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 m∠C are less than m∠A.
∠A = 125°, it is the largest interior angle.
So, the largest side is BC.
4. Answer :
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 m∠B and m∠C are less than m∠A.
∠A = 116°, it is the largest interior angle.
So, the largest side is BC.
5. Answer :
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 m∠B and m∠C are less than m∠A.
∠A = 120°, it is the largest interior angle.
So, the largest side is BC.
6. Answer :
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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Oct 04, 22 11:07 PM
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