Find the hypotenuse of the triangle with legs length 9 and 40.
41
100
In a 45-45-90 triangle, one leg measures 3√6 inches. What is the measure of the hypotenuse?
6√3 inches
100
If a triangle's hypotenuse measures 15 inches and one acute angle measures 65 degrees, what is the measure of that angle's opposite side? Round answer to the nearest hundredths. (Draw a picture if it helps!)
13.595 inches
100
Can you have an angle bigger than 90 degrees in a right triangle? (Yes/No)
No
200
√18
3√2
200
Find the second leg of a triangle with hypotenuse measuring 65 and leg measuring 33.
56
200
In a 30-60-90 triangle, the short leg measures 7 inches. What are the measures of the long leg and the hypotenuse?
Long leg=7√3 inches
Hypotenuse=14 inches
200
A triangle leg measures 6 inches. The angle across from the OTHER leg measures 38 degrees. How long is the other leg? Round your answer to the nearest hundredths.(Draw a picture!)
4.688 inches
200
What is the mnemonic device that helps us to remember our three trig ratios?
SOH-CAH-TOA
300
√3 X √15
3√5
300
Find the hypotenuse of a triangle with legs that measure √3 and √5.
2√2
300
In a 30-60-90 triangle the hypotenuse has a length of 4 feet. What is the measure of the long leg?
2√3
300
Find the angle whose opposite side measures 18 and its hypotenuse measures 24. Round your answer to the nearest hundredths.
48.590 degrees
300
Answer with Always, Sometimes, or Never: Can a triangle be both isosceles and equilateral?
Sometimes
400
3√16 X 4√25
240
400
Is this a right triangle? Legs measure 3 and 12, hypotenuse measuring 15. (Show all work!)
Yes!
400
In a 45-45-90 triangle, the hypotenuse measures 16 cm. How long is the leg?
8√2 cm
400
The measure of an acute angle is 17 degrees. Its opposite side measures 17 feet. What is the measure of the adjacent side?
55.604 feet
400
What is the converse of the Pythagorean Theorem?
c^2= a^2+b^2
500
(2√32)/(√8)
4
500
Is this a right triangle? Legs measure 15 and √207, hypotenuse measuring 12√3. (Show all work!)
Yes!
500
If the longest leg of a 30-60-90 triangle is 4√6 meters, what is the length of the hypotenuse?
8√2 meters
500
DAILY DOUBLE:
A wire reaches from the top of a pole to a stake in the ground 3.5 yards from the foot of the pole. The wire has an angle of elevation of 65 degrees from the ground. Find the length of the wire. Round your answer to the nearest hundredths. (Draw a picture!)