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shtirl [24]
3 years ago
9

Find the length of the missing side. If necessary, round to the nearest tenth. side A = 38 side b =b side  c = 34

Mathematics
2 answers:
maks197457 [2]3 years ago
8 0

The length of the missing side = side B = <em><u>17 (D) or 51(A)</u></em>

<h3>Further explanation </h3>

Triangles are flat fields bounded by 3 intersecting sides and 3 angles

This side can be the same length or different.

If at an angle there is an angle of 90 degrees, this triangle is said to be <em>a right angle </em>

There is a hypotenuse in this triangle which is the sum of the two sides

\large{\boxed{\bold{C^2=A^2+B^2}}

where c = hypotenuse

a and b = side/leg

This formula is known as the Pythagorean theorem which states that:

<em>the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides. </em>

or

<em>the sum of the squares of the length of the two sides equals the square of the length of the hypotenuse </em>

While the angle formulas used are

  • sin a = opposite / hypotenuse
  • cos a = adjacent / hypotenuse
  • tan a = opposite / adjacent

From the problem it is known that side A = 38 ,side b = b, side c = 34

There are 2 possible solutions to this problem because the image does not exist:

  • 1. side A as the hypotenuse side (the longest side)
  • 2. side B as hypotenuse side

Possible Solution no 1

A² = C²+B²(A=hypetenuse)

B² = A²-C²

B² = 38² - 34²

B² = 288

B = √288

B = 16.97, round to the nearest tenth ⇒ 17 (answer D)

Possible Solution no 2

B² = A²+C²(B=hypotenuse)

B² = 38² + 34²

B² = 2600

B = √2600

B = 50.99, round to the nearest tenth ⇒ 51 (answer A)

<h3>Learn more </h3>

the Sin rule

brainly.com/question/3324288

trigonometric ratio

brainly.com/question/9880052

the triangle angle

brainly.com/question/1611320

Prove the converse of the Pythagorean Theorem

brainly.com/question/1597216

Use Pythagoras' theorem

brainly.com/question/10488367

Keywords: Pythagoras' theorem, the trigonometric, hypotenuse

ohaa [14]3 years ago
5 0
A) 51, assuming this is a *right* triangle:

38^2+34^2 = 50.99^2, rounding 51!!
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