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2 years ago

Determine the longest side in ΔDEF.

Mathematics

2 answers:

Jet001 [13]2 years ago

7 0

Solution: segment DF. According to the triangle inequality, the longest side of a triangle is opposite from the largest angle.

Helen [10]2 years ago

6 0

Option D:

Segment DF

Solution:

Let us first define the relationship between the side and angle in triangle.

Relationship between the side and angle in triangle:

The shortest side is always opposite to the smallest interior angle.
The largest side is always opposite to the largest interior angle.

To find the largest side in ΔDEF:

Largest angle in ΔDEF is ∠E = 73°

So, the side opposite to 73° is DF.

Therefore, Option D is the correct answer.

Hence the segment DF is the longest side in the ΔDEF.

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3 years ago

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3 years ago

How do you solve it?

MatroZZZ [7]

Answer:

i: x=-2, x=1

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Step-by-step explanation:

Quadratic form:

You solve i by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

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"first" would be $x*x$ , which would equal $x^{2}$

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"last" would be $2*-1$ , which would equal $-2$

Now you need to combine the terms so that they are one after the other

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i Solution

You need to get the variable by itself.

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$x+2=0\\x=-2$

Add one to both sides.

$x-1=0\\x=1$

ii Solution

Add all the terms.

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3 years ago

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2 years ago