Math / Geometry

Questionworthe Urifirted. Flosplermer fasth
Answer Isosceles Obtuse Shalene Obtuse Submit Answer Scalene Right Isosceles Right Scalene Acute Equilateral Isosceles Acute Sign out

Studdy Solution

STEP 1

1. We are given a triangle $\triangle RQS$ with side lengths $RQ = 5.59$ , $RS = 4.37$ , and $QS = 4.37$ .
2. The angles are $\angle R = 50^\circ$ , $\angle Q = 50^\circ$ , and $\angle S = 80^\circ$ .
3. We need to classify the triangle by its sides and angles.

STEP 2

1. Determine the type of triangle based on its sides.
2. Determine the type of triangle based on its angles.
3. Match the classification with the given multiple-choice options.

STEP 3

To classify the triangle by its sides, we compare the lengths of the sides. We have $RQ = 5.59$ , $RS = 4.37$ , and $QS = 4.37$ . Notice that $RS = QS$ , which means two sides are equal.

STEP 4

To classify the triangle by its angles, we look at the given angles: $\angle R = 50^\circ$ , $\angle Q = 50^\circ$ , and $\angle S = 80^\circ$ . All angles are less than $90^\circ$ , which means the triangle is acute.

STEP 5

Now, we combine the classifications: - By sides: The triangle is isosceles because two sides are equal. - By angles: The triangle is acute because all angles are less than $90^\circ$ .
The classification of the triangle is "Isosceles Acute."

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Questionworthe Urifirted. Flosplermer fasth
Answer Isosceles Obtuse Shalene Obtuse Submit Answer Scalene Right Isosceles Right Scalene Acute Equilateral Isosceles Acute Sign out

Studdy Solution

STEP 1

1. We are given a triangle $\triangle RQS$ with side lengths $RQ = 5.59$ , $RS = 4.37$ , and $QS = 4.37$ .
2. The angles are $\angle R = 50^\circ$ , $\angle Q = 50^\circ$ , and $\angle S = 80^\circ$ .
3. We need to classify the triangle by its sides and angles.

STEP 2

1. Determine the type of triangle based on its sides.
2. Determine the type of triangle based on its angles.
3. Match the classification with the given multiple-choice options.

STEP 3

To classify the triangle by its sides, we compare the lengths of the sides. We have $RQ = 5.59$ , $RS = 4.37$ , and $QS = 4.37$ . Notice that $RS = QS$ , which means two sides are equal.

STEP 4

To classify the triangle by its angles, we look at the given angles: $\angle R = 50^\circ$ , $\angle Q = 50^\circ$ , and $\angle S = 80^\circ$ . All angles are less than $90^\circ$ , which means the triangle is acute.

STEP 5

Now, we combine the classifications: - By sides: The triangle is isosceles because two sides are equal. - By angles: The triangle is acute because all angles are less than $90^\circ$ .
The classification of the triangle is "Isosceles Acute."

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Questionworthe Urifirted. Flosplermer fasthAnswer Isosceles Obtuse Shalene Obtuse Submit Answer Scalene Right Isosceles Right Scalene Acute Equilateral Isosceles Acute Sign out

Studdy Solution

STEP 1

STEP 2

1. Determine the type of triangle based on its sides.2. Determine the type of triangle based on its angles.3. Match the classification with the given multiple-choice options.

STEP 3

To classify the triangle by its sides, we compare the lengths of the sides. We have RQ=5.59 RQ = 5.59 RQ=5.59, RS=4.37 RS = 4.37 RS=4.37, and QS=4.37 QS = 4.37 QS=4.37. Notice that RS=QS RS = QS RS=QS, which means two sides are equal.

STEP 4

To classify the triangle by its angles, we look at the given angles: ∠R=50∘ \angle R = 50^\circ ∠R=50∘, ∠Q=50∘ \angle Q = 50^\circ ∠Q=50∘, and ∠S=80∘ \angle S = 80^\circ ∠S=80∘. All angles are less than 90∘ 90^\circ 90∘, which means the triangle is acute.

STEP 5

Now, we combine the classifications: - By sides: The triangle is isosceles because two sides are equal. - By angles: The triangle is acute because all angles are less than 90∘ 90^\circ 90∘. The classification of the triangle is "Isosceles Acute."

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Questionworthe Urifirted. Flosplermer fasth
Answer Isosceles Obtuse Shalene Obtuse Submit Answer Scalene Right Isosceles Right Scalene Acute Equilateral Isosceles Acute Sign out

1. Determine the type of triangle based on its sides.
2. Determine the type of triangle based on its angles.
3. Match the classification with the given multiple-choice options.

To classify the triangle by its sides, we compare the lengths of the sides. We have $RQ = 5.59$ , $RS = 4.37$ , and $QS = 4.37$ . Notice that $RS = QS$ , which means two sides are equal.

To classify the triangle by its angles, we look at the given angles: $\angle R = 50^\circ$ , $\angle Q = 50^\circ$ , and $\angle S = 80^\circ$ . All angles are less than $90^\circ$ , which means the triangle is acute.

Now, we combine the classifications: - By sides: The triangle is isosceles because two sides are equal. - By angles: The triangle is acute because all angles are less than $90^\circ$ .
The classification of the triangle is "Isosceles Acute."