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Masja [62]
3 years ago
6

Find the length of the missing side of the triangle below PLEASE HELPP!!

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

To find the length of the missing side, you can use the Pythagorean Theorem, which you can only use for right triangles.

Pythagorean Theorem:  a² + b² = c²

[ c is the hypotenuse or the longest side of the triangle, and a and b are the other sides, I think it doesn't matter which side ]

Plug in what you know:

b = 8

c = 14

a² + b² = c²

a² + (8)² = (14)²

a² + 64 = 196       Subtract 64 on both sides

a² = 132       Square root both sides to get "a" by itself

\sqrt{a^2} =\sqrt{132}

a = \sqrt{132} inches

If you need to simplify more, you need to find two numbers that multiply to = 132 where one of them can be square rooted, to do so you can list the greatest common factors of 132

132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The only number that can be square rooted is 4, so you can do:

a=\sqrt{4*33}

a=\sqrt{4} *\sqrt{33}

a=2\sqrt{33}

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Expression 1 is -12x + 3
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6 0
3 years ago
The hypotenuse of a 45 -45 -90 triangle measures 128 cm what is the length of one leg of the triangle
erma4kov [3.2K]
This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
4 0
3 years ago
Read 2 more answers
3x + 7 = x -5Group of answer choices x = -6 x = -7 x = 12 x = 6
LUCKY_DIMON [66]
The answer is x= -7 (can you please hit thanks)
4 0
3 years ago
Please help ill give brainiest answer!
eduard

1. First of all, this is a isosceles triangle, meaning measurement I=58°, which makes it way easier to find T.

58 + 58 + x = 180

116 + x = 180

x = 64

1. m{t}°=64 m{I}°=58

2. This one is easy because algebra is the key.

100 - x + 30 + 4x + 7x = 180

Add like-terms.

130 +10x = 180

10x = 50

\frac{50}{10}  = x = 5

x=5

The only thing that confuses me is the y. Is it 7xy, y as a side, or what? Feel free to reply

8 0
3 years ago
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