Find the length of the missing side. If necessary, round to the nearest tenth. side A = 38 side b =b side c = 34
2 answers:
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
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
trigonometric ratio
the triangle angle
Prove the converse of the Pythagorean Theorem
Use Pythagoras' theorem
Keywords: Pythagoras' theorem, the trigonometric, hypotenuse
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Hope this helped!
