Math Problem Statement
Solve these
Solution
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Question 5
You are given a right-angled isosceles triangle with the right angle at . You need to find the value of in this triangle.
For a right-angled isosceles triangle:
- The two legs (sides opposite the angles and ) are equal.
- The angles opposite these sides are equal, each being because the sum of the angles in a triangle is .
Since is the ratio of the opposite side to the adjacent side in a right triangle:
Question 6
You need to calculate to three decimal places.
Using a calculator:
So,
Rounding to three decimal places:
Answers:
- Question 5:
- Question 6:
Would you like more details on these solutions or have any questions?
Here are five related questions you might explore:
- How do you calculate in a right-angled isosceles triangle?
- What are the properties of an isosceles triangle?
- How does compare to and ?
- What are the applications of trigonometric ratios in real-world problems?
- How do you convert degrees to radians in trigonometry?
Tip: Remember, for any right-angled isosceles triangle, the angles other than the right angle are always .
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right-angled triangles
Isosceles triangles
Formulas
\( \tan \) ratio in a right triangle
Theorems
Properties of right-angled isosceles triangles
Suitable Grade Level
High school