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2 years ago

State if each triangle is acute, obtuse,or right using Pythagorean theorem converse.

Mathematics

1 answer:

shtirl [24]2 years ago

3 0

Answer:

Right triangle

Step-by-step explanation:

Properties for acute, obtuse or right triangle,

1). Given triangle will be a right triangle if,

Hypotenuse² = (Leg 1)² + (Leg 2)²

2). Triangle will be an acute triangle if,

(Largest side)² < (leg 1)² + (leg 2)²

3). Triangle will be an obtuse triangle if,

(Largest side)² > (leg 1)² + (leg 2)²

Now we apply these properties in the given triangle,

(Largest side)² = (√11105)²

= 11105

(leg 1)² = (76)²

= 5776

(leg 2)² = (73)²

= 5329

Since 11105 = 5776 + 5329 (First Property)

11105 = 11105

Therefore, given triangle is a right triangle.

You might be interested in

Is 10/18 and 45/18 proportional

ValentinkaMS [17]

Answer:

Step-by-step explanation:

10/18 does not equal 45/18

An example of a proportional number is:

4/5 and 8/10

Both numbers are multiplied by 2 making them proportional

10/18 and 45/18 are not proportional

Hope this helped :)

6 0

2 years ago

Question 10(Multiple Choice Worth 5 points)

Zinaida [17]

The answer is D. 2b+7

5 0

3 years ago

Mason delivers 98 papers a week. How many does he deliver a year without using multiplication

Anarel [89]

3136

There are 32 weeks in a year. If you were not to use multiplication, you can use addition to find the answer.

If he delivers 98 papers a week and there are 32 weeks in a year, then you can add 98 to itself 32 times:

98+98+98...

Do this until you have added 98 to itself 32 times. This will give you the answer of 3136.

8 0

3 years ago

How much does a customer at David's

alina1380 [7]

Answer:

The solution as an ordered pair is (3,21)

Step-by-step explanation:

<u><em>The complete question is</em></u>

At David's skateboard shop, customers pay an upfront fee of $12 and then pay $3 per hour for each hour they use the skateboard.

How much does a customer at David's skateboard shop pay to rent a skateboard for 3 hours?

Write your answer as an ordered pair (h,C)

we know that

The linear equation in slope intercept form is equal to

$C=mh+b$

where

C is the total cost to rent a skateboard

h is the number of hours

m is the slope or unit rate

b is the initial value (the C-intercept)

In this problem we have

The slope is equal to

$m=\$3\ per\ hour$

The C-intercept or initial value is

$b=\$12$

substitute

$C=3h+12$

For h=3 hours

substitute in the linear equation

$C=3(3)+12=\$21$

therefore

The solution as an ordered pair is (3,21)

4 0

3 years ago

After the price of petroleum oil went up by 10%, a consumer reduced his oil consumption by the same percent. By what percent wou

IgorLugansk [536]

Let's assign some random values to it, and say 1 unit of petroleum costs 100 bitcoins, because we all know bitcoins are the best currency :P

If the price goes up by 10%, it is now 100*1.1 = 110bitcoins for 1 unit.

However he's only getting 0.9 units now, so multiplying 110 by 0.9 gives us 99 bitcoins. His petroleum bill used to be 100 (which is why I picked 100 as it's easier), and now it is 99. Therefore his petroleum bill has reduced by 1%

7 0

3 years ago