HELP PLEASE! AND IF YOU COULD PLEASE EXPLAIN IM CONFUSED
1 answer:
In the given triangle, y = 32°.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 9cm while the hypotenuse of the triangle measures 17cm. As we have the lengths of the opposite side and the hypotenuse side, we can calculate the sine of the value y.
sin y = .
Step 2; Length of the opposite side = 9 cm.
Length of the hypotenuse side = 17 cm.
sin y = =
= 0.5294.
We can multiply inverse sine on both sides to solve y.
y = (0.5294) = 31.9657°.
Rounding this off to the nearest tenth we get, y = 32.0°.
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The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is C.
<h3>What is the triangle inequality theorem?</h3>The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
Given the length of the two sides of the triangle, therefore, we can write the inequalities,
8 + 5 > x ⇒ 13 > x
8 + x > 5 ⇒ x > - 3
5 + x > 8 ⇒ x > 3
Now, as per the inequality the value of x can lie between 3 to 13, but as the side needs to be greatest, therefore, the value of x will be 12.
Hence, the correct option is C.
Learn more about the Triangle Inequality Theorem:
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