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Right triangle geometry - MYP Questionbank | RevisionDojo

Practice Right triangle geometry with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

In a right triangle, if $\tan \theta = \frac{3}{4}$ , what is the value of $\sin \theta$ ?

Question 2

In a right-angled triangle $ABC$ with the right angle at $C$ , if the focus is switched from angle $\hat{A}$ to angle $\hat{B}$ , which of the following statements is true?

Question 3

In the derivation of the distance formula $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ , what does the expression $(x_2-x_1)$ represent?

Question 4

Determine whether the following statement is true or false:

"In a right triangle, the labels 'opposite' and 'adjacent' are fixed and do not change regardless of which acute angle you are analyzing."

Question 5

In the context of the 'shape recipe' analogy, what remains constant for all right triangles with an acute angle of $25^\circ$ , regardless of the triangle's physical size?

Question 6

In a $30^\circ$ - $60^\circ$ - $90^\circ$ triangle, what is the ratio of the shortest leg to the hypotenuse?

Question 7

If $\sin A = \frac{\sqrt{3}}{2}$ for an acute angle $A$ in a right triangle, what is the value of $\cos A$ ?

Question 8

The distance formula $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ is derived from the Pythagorean Theorem. In this context, what do the terms $|x_2 - x_1|$ and $|y_2 - y_1|$ represent?

Question 9

A triangle has side lengths $7\text{ cm}$ , $10\text{ cm}$ , and $13\text{ cm}$ . Which of the following correctly classifies this triangle?

Question 10

Given a right triangle with an acute angle $\beta$ , if all side lengths are multiplied by a scale factor $k$ (where $k > 1$ ), what is the new value of $\cos \beta$ in terms of the original adjacent side (adj) and hypotenuse (hyp)?

Type

Difficulty

Question 1

In a right triangle, if $\tan \theta = \frac{3}{4}$ , what is the value of $\sin \theta$ ?

Question 2

In a right-angled triangle $ABC$ with the right angle at $C$ , if the focus is switched from angle $\hat{A}$ to angle $\hat{B}$ , which of the following statements is true?

Question 3

In the derivation of the distance formula $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ , what does the expression $(x_2-x_1)$ represent?

Question 4

Determine whether the following statement is true or false:

"In a right triangle, the labels 'opposite' and 'adjacent' are fixed and do not change regardless of which acute angle you are analyzing."

Question 5

In the context of the 'shape recipe' analogy, what remains constant for all right triangles with an acute angle of $25^\circ$ , regardless of the triangle's physical size?

Question 6

In a $30^\circ$ - $60^\circ$ - $90^\circ$ triangle, what is the ratio of the shortest leg to the hypotenuse?

Question 7

If $\sin A = \frac{\sqrt{3}}{2}$ for an acute angle $A$ in a right triangle, what is the value of $\cos A$ ?

Question 8

The distance formula $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ is derived from the Pythagorean Theorem. In this context, what do the terms $|x_2 - x_1|$ and $|y_2 - y_1|$ represent?

Question 9

A triangle has side lengths $7\text{ cm}$ , $10\text{ cm}$ , and $13\text{ cm}$ . Which of the following correctly classifies this triangle?

Question 10

Type

Difficulty

Question 1

In a right triangle, if $\tan \theta = \frac{3}{4}$ , what is the value of $\sin \theta$ ?

Question 2

In a right-angled triangle $ABC$ with the right angle at $C$ , if the focus is switched from angle $\hat{A}$ to angle $\hat{B}$ , which of the following statements is true?

Question 3

In the derivation of the distance formula $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ , what does the expression $(x_2-x_1)$ represent?

Question 4

Determine whether the following statement is true or false:

"In a right triangle, the labels 'opposite' and 'adjacent' are fixed and do not change regardless of which acute angle you are analyzing."

Question 5

In the context of the 'shape recipe' analogy, what remains constant for all right triangles with an acute angle of $25^\circ$ , regardless of the triangle's physical size?

Question 6

In a $30^\circ$ - $60^\circ$ - $90^\circ$ triangle, what is the ratio of the shortest leg to the hypotenuse?

Question 7

If $\sin A = \frac{\sqrt{3}}{2}$ for an acute angle $A$ in a right triangle, what is the value of $\cos A$ ?

Question 8

The distance formula $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ is derived from the Pythagorean Theorem. In this context, what do the terms $|x_2 - x_1|$ and $|y_2 - y_1|$ represent?

Question 9

A triangle has side lengths $7\text{ cm}$ , $10\text{ cm}$ , and $13\text{ cm}$ . Which of the following correctly classifies this triangle?

Question 10

Right triangle geometry Questionbank