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Phantasy [73]
3 years ago
5

The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?​

Mathematics
1 answer:
diamong [38]3 years ago
4 0

Answer:

6 and 8

Step-by-step explanation:

The hypotenuse of a 30°-60°-90° triangle measures 10 inches.

To find the length of one of the legs, we use the idea of Pythagorean Triples.

Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:

  • 3, 4 and 5
  • 5, 12 and 13
  • 9, 40 and 41

Note that in a Pythagorean Triple,

  • The longest length is always the Hypotenuse.
  • New Triples can be formed from product of existing triples.

In our given triangle, the Hypotenuse=10 Inches

Consider the Pythagorean Triple 3,4, and 5

  • 5 is the Hypotenuse
  • Multiply the Triples by 2, we obtain:
  • 6, 8 and 10 (in which 10 is the hypotenuse)

Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.

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True or false (if it's false, replace the words in parentheses with the correct answer):
Elis [28]

Answer:

1 is true , 2 is false

Step-by-step explanation:

for equation 2

-2x<8

-2x=8

then we divide both side by coefficient of x which is -2

-2x/-2=8/-2

we will be left with

x= 8/-2

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4 0
2 years ago
Please help I will give brainliest to whoever answer correct first
ICE Princess25 [194]
The correct answer is y=1/3x-3
8 0
3 years ago
What is the solution of the equation 1.6m - 4.8 = -1.6m
Flauer [41]
Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer:  m ≈ 1.5
6 0
3 years ago
Help :( I suck at math
iris [78.8K]

Answer:

D

Step-by-step explanation:

For some side lengths to create a triangle, any two of the side lengths must have an added length together of less than the third leg. Otherwise, the vertices would simply not be able to be connected by the lines. In a), 3+5=8, but since it is not more, the triangle will not be able to be formed (it would basically just be a line.) In B, 7+8< 16. In C, there is the same situation as with the first example (4+15=19). Finally, in the last one, 5+7>12, and all of the side lengths work out. Therefore, the correct answer is D. Hope this helps!

7 0
3 years ago
in a weakly connected graph. it is not possible to reach all other vertices from any one vertext (true) (false)
iVinArrow [24]
True it is true because you can reach the vertext at all times try it out my teacher told me right now check it our


4 0
3 years ago
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