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guapka [62]
3 years ago
15

The three sides of a triangle measure 8,10 and 12 units. Is this a right triangle? Prove whether it is or not using the converse

of the Pythagorean theorem
Mathematics
1 answer:
kvasek [131]3 years ago
4 0

Answer:

square of longest side ≠ the sum of the squares of the other two sides

It's not a right triangle

Step-by-step explanation:

The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

square of longest side: 12       12² = 144

the sum of the squares of the other two sides: 8² + 10² = 164

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vaieri [72.5K]

Answer:

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3. ○ \displaystyle squares

2. ○ \displaystyle rhombus

1. ○ \displaystyle equilateral\:triangle

Step-by-step explanation:

7. Everything is in correspondence with each other, so just follow the pattern in the order the they were originally.

6. All angles correspond with each other, so just follow the pattern.

5. All segments and angles correspond with each other, so just follow their patterns.

4. An <em>octagon</em><em> </em>has eight sides, a triangle has three sides, a <em>hexagon</em> has six sides, and a <em>pentagon</em><em> </em>has five sides. With this being stated, you have your answer.

3. In a previous lesson, we confirmed that <em>all squares </em><em>are</em><em> </em><em>rectangles</em><em> </em>because it is a quadrilateral with four right angles.

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I am joyous to assist you anytime.

4 0
3 years ago
Read 2 more answers
Margie's car can go 3232 miles on a gallon of gas, and gas currently costs $4$4 per gallon. How many miles can Margie drive on $
vaieri [72.5K]
She should be able to drive 160 miles
4 0
3 years ago
'Five times a number minus eight is 17.5.
11Alexandr11 [23.1K]

Answer:

5.1

Step-by-step explanation:

you need to work backwards.

so do 17.5 + 8 then divide by 5 to get 5.1

i hope this helps :)

8 0
2 years ago
Over 6.8 months, a tree grew 7.48 inches.
evablogger [386]
The tree's grow rate is 1.1 per month
7.48/6.8
=1.1
4 0
3 years ago
Read 2 more answers
A 12-foot ladder leans against the wall; the base of the ladder is 2 feet away from the wall.To the nearest tenth of a foot, how
ludmilkaskok [199]
<h3>The ladder will reach a height of 11.8 feet up the wall</h3>

<em><u>Solution:</u></em>

The ladder, wall and base of the ladder from wall forms a right angled triangle

Length of ladder forms the hypotenuse

Length of ladder = 12 foot

base of the ladder from wall = 2 feet

<em><u>To find: height of wall</u></em>

By pythagoras theorem.

c^2 = a^2+b^2

Where,

"c" is the Length of ladder

"a" is the base of the ladder from wall

"b" is the height of wall

Substituting the values,

12^2 = 2^2+b^2\\\\144 = 4 + b^2\\\\b^2 = 140\\\\b = \pm 11.832 \\\\Ignore\ negative\ value\\\\b \approx 11.8

Thus, the ladder will reach a height of 11.8 feet on wall

4 0
2 years ago
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