Hard · Right Triangle Trigonometry

Hard Right Triangle Trigonometry Questions

This page lists the 7 hard-difficulty questions on Right Triangle Trigonometry, one row per record in the site's question bank (data/questions.json), with each question's score band.

By score band: 600-700 1 of 7, 700-800 6 of 7. The Right Triangle Trigonometry topic page carries all 25 questions on this topic; the other difficulty hubs are easy, medium and hard.

Question	Band
A right triangle has legs of length 3 and 4. What is the length of the hypotenuse?	600-700	Open
In a right triangle with legs 20 and 48 and hypotenuse 52, what is the value of sin(A) where A is the angle opposite the leg of length 20?	700-800	Open
In a right triangle with legs 16 and 30 and hypotenuse 34, what is the value of tan(B) where B is the angle opposite the leg of length 30?	700-800	Open
A right triangle has legs of length 21 and 72. What is the length of the hypotenuse?	700-800	Open
In a right triangle with legs 6 and 8 and hypotenuse 10, what is the value of sin(A) where A is the angle opposite the leg of length 6?	700-800	Open
In a right triangle with legs 9 and 12 and hypotenuse 15, what is the value of tan(B) where B is the angle opposite the leg of length 12?	700-800	Open
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?	700-800	Open