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3 years ago

What are the two possible min and max values (range) for the length of the third side?

Mathematics

2 answers:

MArishka [77]3 years ago

7 0

Answer:

16 and 38

Step-by-step explanation:

Given 2 sides of a triangle then the third side x

difference of 2 sides < x < sum of 2 sides , that is

27 - 11 < x < 27 + 11

16 < x < 38

nasty-shy [4]3 years ago

4 0

ANSWER: 16 > x > 38

Rule: The sum of two smaller sides is greater than the largest side.

You can assume that 27 is the largest side.

x + 11 > 27
x > 16

or

You can assume that ‘x’ is the largest side (because it’s actual value as not been determined yet).

11 + 27 > x
x < 38

BUT, you CANNOT assume that 11 is the largest side because it does not follow the rule (11 is not larger than 27).

All in all, you would end up w/ this Triangle
Inequality:

16 > x > 38

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Step-by-step explanation:

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3 years ago

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3 years ago

Lily built an orange shelf in a brown shelf to hang in her room. The orange shelf is 5 feet 6 inches long. The brown shelf is tw

Snowcat [4.5K]

Answer:

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4 years ago

Find the value of x and y

kotykmax [81]

Answer:

x = 8

y = 29

Step-by-step explanation:

By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.

Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.

Hence one can say that;

4x + 17 = y + 20

Inverse operations;

4x + 17 = y + 20

-17 -17

4x = y + 3

-3 -3

4x - 3 = y

Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.

When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words, the same measure.

Based on that, one can say;

5x + 9 = y + 20

Earlier it was found that;

y = 4x - 3

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3 years ago