Pythagorean Theorem
Given a= 5 b= 2. What is the value of c
5.385
If an isosceles right triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?
4
What is the ratio of the sides in a 30-60-90 special right triangle?
shorter leg: 1, hypotenuse: 2, longer leg: 1 times the square root of 3
What acronym is used to memorize the trig functions and their corresponding ratios?
SOH-CAH-TOA
To solve a right triangle means to find the measures of what?
All the triangles angles and its sides
Given a= 4 and c = 6. What is the value of b?
4.47
What is the ratio of the sides of an Isosceles Right Triangle? (hint: this is a 45/45/90)
1:1:√2
In a 30-60-90 triangle the hypotenuse has a length of 4 feet. What is the perimeter of the triangle? Round to the nearest tenth.
9.5
In triangle KJL, side KL=24, LJ= 32, and JK=40. Find tanJ and tanK. Express your answer as both a fraction and a decimal rounded to the nearest hundredth.
tanK=4/3=1.33
Solve the right triangle ABC if AC= 9, CB= 12, and angle C= 90 degrees.
AB= 15, Angle A= 53.1 degrees, Angle B= 36.9 degrees
Do the lengths 5, 12, 14 make a right triangle?
No
Which has more area, an isosceles Right Triangle with a leg lenth of 4 or a 3,4,5 triangle and what is its area?
An isosceles right triangle with a leg length of 4. Area = 8
In triangle ABC, AB= 18, BC=7 and AB= x. Angle c= 32 degrees and angle B= 90 degrees. Find the value of each variable. Round to the nearest tenth.
x=9.5
y=15.3
In right triangle XYZ, angle Y= 90 degrees, Side XZ=9, and side XY= 3. Find the measure of angle Z, rounded to the nearest tenth.
Angle Z= 19.5 degrees
Given a rectangle with a diagonal of 25 and a width of 16, what is the length of the triangle to the nearest tenth?
19.2
You have an isosceles right triangle, where AB and BC create a 90 degree angle. What is the measure of angle A and angle B?
A = 45 B = 45
In a 30-60-90 triangle with sides BC = 1 AB = 2 AC =√3 Which angle is 30 degrees?
A
In triangle DFE, DF= 9, FE= 12, and DE= 15. Angle F=90 degrees. Find SinD, SinE, CosD, and CosE. Write your answers as a fraction in lowest terms.
SinD=4/5
SinE=3/5
CosD=3/5
CosE=4/5
Let D be an acute angle. Find D if Sin D= 0.75. Round to the nearest tenth.
48.6 degrees
How long is the other leg of a right triangle whose hypotenuse is 9 and has one leg that is 7.
what is 4 square root of 2
An isosceles right triangle has a hypotenuse of 9. What is the length of one leg?
9 square root of 2 divided by 2.
If the shortest leg of a 30-60-90 triangle is 5 what is the length of the hypotenuese plus the long leg to the nearest tenth?
18.7
Triangle ABC has length of side AB=12, side BC=x, angle B is 90 degrees and angle C is 41 degrees. Find the value of the variable. Round to nearest tenth.
x= 13.8
In triangle RST, angle R= 57 degrees, angle S= 90 degrees, and side ST= 15. Solve the right triangle.
RS= 9.7
RT= 17.9
Angle T= 33 degrees