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telo118 [61]
2 years ago
11

The hypotenuse of a 45°-45°-90° triangle measures 22 square root 2 units

Mathematics
2 answers:
anastassius [24]2 years ago
7 0
Hypotenuse = 22*sq root (2)
I'm guessing you need to know the length of the triangle legs?
The triangle leg of a 45 45 90 triangle = hypotenuse / sq root (2)
triangle leg= 22* sq root (2) / sq root (2)
triangle leg=22


34kurt2 years ago
4 0

Answer:

22units

Step-by-step explanation:

Using the SOH CAH TOA method to solve the problem since the triangle is a 45°-45°-90° triangle which is a right angled triangle due to the presence of 90° as one or the angles.

If one of the sides is 22√2units,

Using SOH which states;

sin(theta) = Opposite/Hypotenuse

theta =45° (the angle facing one of the acute angle in the triangle)

Opposite side = 22√2

Substituting the datas into the formula we will have;

Sin 45° = 22√2/Hyp

1/√2 = (22√2)/Hyp

Cross multiplying;

Hypotenuse = √2×22/√2

Hypotenuse = 22units

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Answer:

P (5 , 8)

Step-by-step explanation:

P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1  ... a=2 , b=1

x = (bx₁ + ax₂) / (a+b)

  = (1 * 3 + 2 * 6) / (2 + 1)

  = 15/3

  = 5

y = (by₁ + ay₂) / (a+b)

  = (1 * 4 + 2 * 10) / (2 + 1)

  = 24/3

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P (5 , 8)

8 0
3 years ago
Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall an
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He will need 12 sq. inches of Paper for each rhombus.

Given: 6 inches tall and 4 inches wide.

so, Length of the diagonals are 6 and 4 inches respectively.

Refer to figure.

The two diagonals cuts the rhombus into four equal parts, so

Area of one rhombus = 4 x (area of 1 part of the rhombus)

Now,

Area of 1 part of the rhombus = \frac{1}{2} x 3 x 2

                                                  = 3 sq. inches

Area of one rhombus = 4 x 3 = 12 sq. inches

Hence, 12 sq. inches of Paper is needed for each rhombus.

Learn more about the "Finding the area of the rhombus" Here : brainly.com/question/10684261

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5 0
1 year ago
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What is the area of the triangle?
Alika [10]

Answer:

15 I think

Step-by-step explanation:

7 0
3 years ago
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Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than
lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²


8 0
3 years ago
At the end of her work day, Rosa leaves her office and goes directly to her bank. On the graph that shows the locations of Rosa'
ikadub [295]
Find the distance between the point of bank and the point of office.

\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}
\sqrt{(-4 - (-6)^2 + (4 - (-3)^2}
\sqrt{(2)^2 + (7)^2}
\sqrt{4 + 49}
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The distance she travels is approximately 7.3 km.

Hope this helps :)
7 0
3 years ago
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