What is the result when the number 79 is decreased by 17%?
2 answers:
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One thing you should notice is that the transverse line and the parallel line form a right triangle. We are told that the base is 4 and the angle between the hypotenuse and the leg is 45°
From this we can solve for the second leg. Here's the list of trig functions
sinФ = opposite/hypotenuse
cosФ = adjacent/hypotenuse
tanФ = opposite/adjacent
Since we are only given the adjacent and we are trying to solve for the opposite leg, we can deduce we use tanФ. So we get
Multiply by 4 to isolate x and we get
= x
Hopes this helps!
From this we can solve for the second leg. Here's the list of trig functions
sinФ = opposite/hypotenuse
cosФ = adjacent/hypotenuse
tanФ = opposite/adjacent
Since we are only given the adjacent and we are trying to solve for the opposite leg, we can deduce we use tanФ. So we get
Multiply by 4 to isolate x and we get
Hopes this helps!
Answer:
1 and 9
Step-by-step explanation:
By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.
In other words, in a triangle with side lengths and
we always have
Applying this to this question, the other side length, must satisfy the following inequalities:
Solving these inequalities gives
Combining these solutions, we have Therefore, the length of the third side falls between 1 and 9.