Math / Geometry

Question这 Can the sides of a triangle have lengths of 2,34 , and 36 ? If so, what kind of triangle is it? yes, acute yes, right yes, obtuse no

Studdy Solution

STEP 1

What is this asking? Can we make a triangle with sides of length $2$ , $34$ , and $36$ , and if so, what type of triangle is it (acute, right, or obtuse)? Watch out! There's a rule about triangle side lengths we need to remember!

STEP 2

1. Check the Triangle Inequality Theorem
2. Determine the type of triangle

STEP 3

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side.
Let's check if our given side lengths follow this rule.

STEP 4

Is $2 + 34 > 36$ ?
Well, $2 + 34 = 36$ , so no, this inequality is not true!

STEP 5

Since the sum of two sides is equal to the third side, and not greater, we already know these lengths cannot form a triangle.
We don't need to check the other combinations.

STEP 6

Since the given side lengths don't even form a triangle, we can't classify it as acute, right, or obtuse.

STEP 7

No, a triangle cannot have sides of length $2$ , $34$ , and $36$ .

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Question这 Can the sides of a triangle have lengths of 2,34 , and 36 ? If so, what kind of triangle is it? yes, acute yes, right yes, obtuse no

Studdy Solution

STEP 1

What is this asking? Can we make a triangle with sides of length $2$ , $34$ , and $36$ , and if so, what type of triangle is it (acute, right, or obtuse)? Watch out! There's a rule about triangle side lengths we need to remember!

STEP 2

1. Check the Triangle Inequality Theorem
2. Determine the type of triangle

STEP 3

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side.
Let's check if our given side lengths follow this rule.

STEP 4

Is $2 + 34 > 36$ ?
Well, $2 + 34 = 36$ , so no, this inequality is not true!

STEP 5

Since the sum of two sides is equal to the third side, and not greater, we already know these lengths cannot form a triangle.
We don't need to check the other combinations.

STEP 6

Since the given side lengths don't even form a triangle, we can't classify it as acute, right, or obtuse.

STEP 7

No, a triangle cannot have sides of length $2$ , $34$ , and $36$ .

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Question这 Can the sides of a triangle have lengths of 2,34 , and 36 ? If so, what kind of triangle is it? yes, acute yes, right yes, obtuse no

Studdy Solution

STEP 1

What is this asking? Can we make a triangle with sides of length 222, 343434, and 363636, and if so, what type of triangle is it (acute, right, or obtuse)? Watch out! There's a rule about triangle side lengths we need to remember!

STEP 2

1. Check the Triangle Inequality Theorem2. Determine the type of triangle

STEP 3

The Triangle Inequality Theorem states that the sum of any two sides of a triangle *must* be greater than the third side.Let's check if our given side lengths follow this rule.

STEP 4

Is 2+34>362 + 34 > 362+34>36?Well, 2+34=362 + 34 = 362+34=36, so no, this inequality is *not* true!

STEP 5

Since the sum of two sides is *equal* to the third side, and not greater, we already know these lengths *cannot* form a triangle.We don't need to check the other combinations.

STEP 6

Since the given side lengths don't even form a triangle, we *can't* classify it as acute, right, or obtuse.

STEP 7

No, a triangle cannot have sides of length 222, 343434, and 363636.

Get Studdy

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.

What is this asking? Can we make a triangle with sides of length $2$ , $34$ , and $36$ , and if so, what type of triangle is it (acute, right, or obtuse)? Watch out! There's a rule about triangle side lengths we need to remember!

1. Check the Triangle Inequality Theorem
2. Determine the type of triangle

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side.
Let's check if our given side lengths follow this rule.

Is $2 + 34 > 36$ ?
Well, $2 + 34 = 36$ , so no, this inequality is not true!

Since the sum of two sides is equal to the third side, and not greater, we already know these lengths cannot form a triangle.
We don't need to check the other combinations.

Since the given side lengths don't even form a triangle, we can't classify it as acute, right, or obtuse.

No, a triangle cannot have sides of length $2$ , $34$ , and $36$ .