Radicals
Simplify: √10*√ 2
2√5
In a non-right triangle, which side is your "c" value?
The longest side
How do you find the hypotenuse in a 45-45-90 if you are given the length of the leg?
√2*leg
Find the sine ratio of angle B where the opposite side is 42, adjacent is 35, and hypotenuse is 56. Simplify!
42/56=3/4
Home Depot sells square tiles in three different sizes. The sides of the three tiles can be joined to make a right triangle. Could 9 in, 10 in, and 14 in represent the side lengths of the three tiles? Why or why not?
NO-- 81+100<196
Rationalize the following fraction: 15/√3
5√3
Solve for b: a=8, c=10
b=6
Name the two formulas for 30-60-90 triangles in terms of the short leg.
hyp=2*SL
LL=√3*SL
Find the measure of angle Z if the opposite side is 31 and the adjacent side is 37. Round to the nearest degree.
40 degrees
A 13-ft ladder is leaning against the wall. The base of the ladder is 5-ft away from the wall. How high on the wall does the ladder reach?
12 ft high
Divide: 4√30/2√5
2√6
Is the triangle acute, obtuse, or right? Why?
sides: 14, 11, 13
Acute!
If the short leg in a 30-60-90 is √2, find the hypotenuse and the long leg.
hyp=2√2
LL=√6
Angle A is 41 degrees, the adjacent side is x, and the hypotenuse is 10. Find the value of x-- round to the nearest tenth.
x=7.5
Sally walks 4 miles north, then 3 miles east. From her starting point, how long would she need to walk if she travelled in a straight line?
5 miles
Simplify: 6√5*3√5
90
Solve for the hypotenuse if the legs are 5 ft and 10 ft. Simplify your answer.
c=5√5 ft
If the length of the hypotenuse in a 45-45-90 is 6√5, find the length of the legs.
legs=3√10
If the hypotenuse of a right triangle is 45 and a leg is 30, find the measure of both acute angles. Round to the nearest degree!
42 degrees and 48 degrees
A 25-ft tree casts a 10-ft shadow. Find the measure of the angle from the top of the shadow to the top of the tree. Round to the nearest tenth.
68.2 degrees
Simplify: √3(√27-√3)
6
If a right triangle has a hypotenuse of √98 inches and a leg of 9 inches, what is the length of the other leg?
√17
What is another name you can call a 45-45-90 triangle? What is another name for a 30-60-90?
45-45-90: Isosceles
30-60-90: Scalene
Besides sin, cos, and tan, what are two other ways to find missing sides in a right triangle? Be specific.
Special right triangles & Pythagorean Theorem!!
A right-angled isosceles triangle has a hypotenuse of 8 meters. Find the length of the other 2 sides.
4√2-- both legs!