# Lesson Worksheet: Special Right Triangles Mathematics • 11th Grade

In this worksheet, we will practice finding lengths in 30-60-90-degree and in 45-45-90-degree triangles without trigonometry.

Q1:

Find the value of in the given figure. Q2:

Find the length of in the figure to two decimal places. Q3:

Find the length of . Q4:

Find the values of and . • A,
• B,
• C,
• D,
• E,

Q5:

Find the length of . Q6:

Consider triangle . Find, in the form 1 : , the ratio of the side lengths  : .

• A1 : 2
• B1 :
• C1 :  3
• D1 :  1
• E1 :

Find, in the form 1 : , the ratio of the side lengths  : .

• A1 : 1
• B1 : 2
• C1 : 3
• D1 :
• E1 :

Q7:

In triangle , the length of is . Find, in terms of , the length of .

• A
• B
• C
• D
• E

Find, in terms of , the length of .

• A
• B
• C
• D
• E

Q8:

Given that , and is a median in , find the perimeter of . Q9:

Find the lengths of and . • A,
• B,
• C,
• D,

Q10:

Given a right triangle , in which angle measures , which of the following is equal to the length of the side opposite angle ?

• AThe length of the hypotenuse
• BOne-third the length of the hypotenuse
• CHalf the length of the side opposite the angle measuring
• DHalf the length of the hypotenuse