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viva [34]
3 years ago
10

Which of these choices is the length of the leg of a 45-45-90 triangle with a hypotenuse of 20?

Mathematics
2 answers:
Marta_Voda [28]3 years ago
8 0

Answer:  The correct choice is 10√2 units.

Step-by-step explanation:  We are given to select the correct choice that gives the length of the leg of a 45-45-90 triangle with a hypotenuse of 20.

Since the given triangle is an isosceles right-angled triangle, so let x units be the length of each of the legs.

Using the Pythagoras theorem, we get

x^2+x^2=20^2\\\\\Rightarrow 2x^2=400\\\\\Rightarrow x^2=\dfrac{400}{2}\\\\\Rightarrow x^2=200\\\\\Rightarrow x=\pm\sqrt{2\times100}\\\\\Rightarrow x=\pm10\sqrt2.

Since x is the length of the leg of the given triangle, so we get

x = 10√2 units.

Thus, the correct choice is 10√2 units.

Nuetrik [128]3 years ago
7 0
The answer would be b.20
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1 year ago
16x=10(x+1)=26(+1)-16
Yuliya22 [10]
The solution to the first pair of equal expressions is:

<span>16x = 10(x + 1)

16x = 10x + 10

6x = 10

x = 10/6 = 1 and 2/3

</span>
<span>The solution to the second pair of equal expressions is:
</span>
<span>10(x + 1) = 26(+1) - 16

The left side is 10(x + 1) = 10x + 10

The right side is  26(+1) - 16 = 26-16 = 10

The equation now says    10x + 10 = 10

Subtract 10 from each side:   10x = 0

The solution to this pair of equal expressions is   x = 0 .

I think I understand the weird question now.  It's trying to say that
the first expression is equal to both the second and third expressions.
Let's try the first and the third:

</span><span><span><span>16x = 26(+1) - 16</span>

16x = 26 - 16

16x = 10

x = 10/16 = 5/8 = 0.625

Nope, that wasn't it.

The upshot of all my research is:  I have no idea what the question is trying to say,
therefore no clue of what the actual question is, and no direction toward an answer.</span></span>
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