Pythag, special triangles, and trig.

Take a look at all the right triangles given. There is one thing they all have in common, what is it?

How would you solve this problem since all right triangles have that in common?

select two correct answers

• All right triangles have an angle given other than the right angle.

• All right triangles have the hypotenuse and the opposite identified.

• We would solve using Pytagorean.

• We would solve using the hashtag for Special Right triangles.

• We would solve using Trig.

How would you find the length of the missing side?

• You would use Pythagorean because we are only given sides.

• You would use Trig because we are looking for a side.

• You would use special right triangles because it is a right triangle.

• You would use Trig because there are two sides given and we are looking for the third.

Take a look at the two right triangles shown. What type of triangles are they and how would you solve for x?

• These are special right triangles and I can solve for x using trig or the hashtag.

• These are special right triangles and I would solve for x using Pythag.

• The are special right triangles and I can only use trig to solve for x.

• These are right triangles and I would use trig to solve for x.

Take a look at right triangles 1 and 2.

Correctly match each question or statement with their corresponding answer or pair.

• In triangle 1 what side is missing? and how would you solve?

• Only sides given so we use Pythag.

• In triangle 2 what side is missing? and how would you solve?

• Pythagorean Theorem

• What information is given in the 2 right triangles?

• the leg is missing so I would subtract

• What is the equation/formula for Pythag?

• the hypotenuse is missing so I would add

• What Theorem would be used to solve for the missing sides?

Find the length of the missing side. The triangle is not drawn to scale.

• 25

• 5

• 12

• 7

Mark is figuring out the height of his neighbors tree based on his height. Mark measures the angle of where he is standing to the top of the tree and the distance he is standing from the tree. If Mark would like to know the height of the tree if it was 3.5 times taller. What would the height of the tree be?

• 30 m

• 9 m

• 12 m

• 22 m

Find the length of the missing side. Leave your answer in simplest radical form.

A triangle has side length of 21, 38, and 81. Is it a right triangle?

Find the length of the missing sides in the triangle. Write your answer in simplest radical form.

(remember if you get a long decimal plug in the answer choice to your calc. to compare)

x= ​ (a)   y=​ (b)  

• 10

Find the value of the variable. If your answer is not an integer leave it in simplest radical from.