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Ann [662]
3 years ago
7

Consider triangle ABC. The legs have a length of 5 units each. What is the length of the hypotenuse of the triangle?

Mathematics
2 answers:
Korvikt [17]3 years ago
6 0

Answer:

5\sqrt{2} units.

Step-by-step explanation:

We have been given that two legs of triangle ABC measures 5 units each. We are asked to find the length of the hypotenuse.

We will use Pythagoras theorem to solve for the hypotenuse of triangle ABC.

\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2

Substituting our given values in above equation we will get,

\text{Hypotenuse}^2=5^2+5^2

\text{Hypotenuse}^2=25+25

\text{Hypotenuse}^2=50

Upon taking square root of both sides of our equation we will get,

\text{Hypotenuse}=\sqrt{50}

\text{Hypotenuse}=\sqrt{25*2}

\text{Hypotenuse}=5\sqrt{2}

Therefore, the length of hypotenuse of triangle ABC is 5\sqrt{2} units.

kolezko [41]3 years ago
3 0

Here's what you were looking for.

Ur welcome :)


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Hmm..... Can someone help me please ? Thanks!
kolezko [41]
I believe it is A. Hope this helps.
6 0
3 years ago
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Simplify this: log√24+ log6​
Kitty [74]

simplifying log\sqrt{24}+log6 we get log(12\sqrt{6})

Step-by-step explanation:

We need to simplify: log\sqrt{24}+log6

Solving:

Applying the rule:

log a + log b = log(ab)

log\sqrt{24}+log6\\=log(6\sqrt{24})\\\sqrt{24} = \sqrt{2*2*2*3} =\sqrt{2^2*6} =\sqrt{2^2} \sqrt{6}=2\sqrt{6}\\  Putting\,\,value:\\=log(6*2\sqrt{6})\\=log(12\sqrt{6})

So, simplifying log\sqrt{24}+log6 we get log(12\sqrt{6})

Keywords: Simplifying Logarithms

Learn more about Simplifying Logarithms at:

  • brainly.com/question/11921476
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#learnwithBrainly

3 0
3 years ago
In this line of ,the ratio of red circles to blue circles is 1:3 , How many more red circles would need to be added to make the
avanturin [10]

8 more red circles because if you have 9 red circles and 3 blue ones the ratio would be 9:3 and if you simplify that down to 3:1 that’s the answer. So you would need to add 8 more red circles

5 0
3 years ago
*see attached image*
Leni [432]

Answer:

Sin, Cos, Tan and others are used to calculate the ratios of the sides of a right angled triangle by taking a certain angle as the angle of reference.

On the other hand, Sin‐¹, Cos‐¹ and Tan-¹ are used to find the reference angle used to calculate the ratio of sides.

For this question,

we need to find which option should used to calculate the angle the slide makes with the vertical support.

So the option will have to be either A, C or E.

here, the base is 2.81m and hypotenuse is 3.64m.

we know, Cos = base / hypotenuse

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4 0
3 years ago
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Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.
3241004551 [841]
(3,4)(2,-1)
slope(m) = (y2 - y1) / (x2 - x1)
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y = mx + b
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so ur equation is : y = 5x - 11 <===

3 0
3 years ago
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