QQuestionMathematics
QuestionMathematics
Anyone know what these 45 - 45 - 90 triangles are along with 30 - 60 - 90?
Find the value of each variable based on the Reclas of 45 - 45 - 90 and 30 - 60 - 90 Δ'S. Simplify IF NEEDED!
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Answer
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Step 1:: Recall the properties of 45 - 45 - 90 and 30 - 60 - 90 triangles.
This means that if the length of one side is $x$, then the lengths of the other two sides are $x\sqrt{3}$ and $2x$.
Step 2:: Identify the given information and the triangles.
The hypotenuse of the 45-45-90 triangle is labeled as $5$, and the hypotenuse of the 30-60-90 triangle is labeled as $10$.
In the given figure, we have two right triangles. The triangle on the left is a 45 - 45 - 90 triangle, and the triangle on the right is a 30 - 60 - 90 triangle.
Step 3:: Find the lengths of the sides of the 45 - 45 - 90 triangle.
Step 4:: Find the lengths of the sides of the 30 - 60 - 90 triangle.
Step 5:: Identify the variables and assign the corresponding values.
The variable $z$ corresponds to the hypotenuse of the 30-60-90 triangle, which is $10$ units.
Final Answer
- $x = 5$ units - $y \approx 3.54$ units - $z = 10$ units
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