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MrRa [10]
3 years ago
6

The hypotenuse of a right triangle is 15cm long. One of the triangle’s legs is two times the length of the other leg. Find the l

engths of the three sides of the triangle
Mathematics
2 answers:
Slav-nsk [51]3 years ago
7 0

Answer:

15, 3\sqrt{5} and 6\sqrt{5}

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let one leg be x then the other leg is 2x, then

x² + (2x)² = 15², that is

x² + 4x² = 225

5x² = 225 ( divide both sides by 5 )

x² = 45 ( take the square root of both sides )

x = \sqrt{45} = \sqrt{9(5)} = 3\sqrt{5}

The other leg is 2 × 3\sqrt{5} = 6\sqrt{5}

vladimir2022 [97]3 years ago
6 0

Answer:

6.7cm, 13.4cm, 15cm.

Step-by-step explanation:

Let x be one side of the triangle. The question tells us the other side is 2x.

We can relate all 3 sides using the Pythagorean Theorem:

15^2=x^2+(2x)^2\\225=x^2+4x^2\\225=5x^2\\x^2=45\\x=6.7

That means the side lengths are 6.7cm and 2 x 6.7 cm = 13.4cm.

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Answer:

3rd option.) 1/8a^12

Step-by-step explanation:

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Is this function linear or nonlinear?​
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3 years ago
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So I'm a little confused.?
juin [17]
All you have to do is multiply the area of the base times the length of the height, so:5 1/4*8=42
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4 0
3 years ago
I NEED HELP ASAP!!
S_A_V [24]
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3 years ago
The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?
Ratling [72]

<u>Statement</u><u>:</u>

The circle has a diameter of 16 inches.

<u>To </u><u>find </u><u>out:</u>

The area of the circle.

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

  • Diameter of the circle = 16 inches.

  • Radius of the circle
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  • = 16 inches ÷ 2
  • = 8 inches

  • π = 3.14

  • We know, area of a circle = πr² where r is the radius.

  • Therefore, the area of the circle
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<u>Answer</u><u>:</u>

C) 201 square inches

Hope you could understand.

If you have any query, feel free to ask.

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