Studentereksamen STX (Denmark) · Mathematics

Geometry, Trigonometry and Vectors

9 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 9 questions

A right triangle has legs $5$ and $12$ . How long is the hypotenuse?
Two angles of a triangle are $5 0^{\circ}$ and $6 0^{\circ}$ . What is the third angle?
In a right triangle with hypotenuse $10$ and an angle of $3 0^{\circ}$ , how long is the side opposite that angle?
In triangle $A B C$ , $a = 8$ , $A = 3 0^{\circ}$ and $B = 9 0^{\circ}$ . What is $b$ ?
Let $a = (23)$ and $b = (- 1 4)$ . What is $a + b$ ?
What is the dot product $a \cdot b$ for $a = (2, 3)$ and $b = (- 1, 4)$ ?
For which value of $k$ are $a = (3, k)$ and $b = (2, - 6)$ perpendicular?
What is the radius of the circle $x^{2} + y^{2} - 4 x + 6 y - 3 = 0$ ?
A triangle has two sides of length $5$ and $6$ with an angle of $3 0^{\circ}$ between them. What is its area?

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