Right Triangles
A right triangle has a 33-degree angle of elevation, and the leg adjacent to the angle is 5 m long. How long is the Hypotenuse?
(Round to the nearest hundredth of a meter)
What are 5.96 meters?
A circle has an inscribed angle of 80-degrees, find the degree of its inscribed arc.
What are 40-Degrees?
What types of angles are A and B, and how do their measures relate to one another?
(Pictured Separately)
What are vertical angles?
A right triangle has a point on the origin, a point at 8,0, and an angle of elevation from the origin of 40-degrees. Find the length of the hypotenuse.
(Round to the nearest hundredth)
What is 10.44?
If triangle 1 has angles of 45 degrees, 100 degrees, and 35 degrees, and triangle 2 is similar to it -- what are the angles of triangle 2?
What are 45 degrees, 100 degrees, and 35 degrees?
A triangle has angles of 30, 60, and 90 has a shorter leg of length 6 mm. Find the sine of the hypotenuse.
(Round to the hundredth of a millimeter)
What are 0.21 millimeters?
Two chords of a circle intersect. The first chord is cut into portions of 8 and 6. The second circle is cut into portions of 12 and x. Find x.
(Pictured Separately_
What is 4?
In the given figure, solve for x and y.
(Pictured Separately)
(Hint use formula 180(n - 2) / n = interior angles of a regular polygon)
What are x = 120-Degrees and y = 120-Degrees?
In the diagram shown below, solve for x.(Hint: Remember the Centroid Theorem)
What is 4?
A section of Triangle 1 is similar to triangle 2. Find the angles of the section in triangle 1.
(Pictured Separately)
What are 30, 60, 90?
In an Isosceles triangle with a base of 10 cm and the angle opposite from the base of 80, find the lengths of the other sides of the triangle.
(Round to the nearest hundredth of a cm)
What is 7.78 cm?
A right triangle sits on the center of a circle with an area of 64 pi cm2. The section of the hypotenuse outside of the circle is 4 cm. The angle of the triangle inside the circle is 25-Degrees. Find the leg outside of the circle.
(Pictured separately and round to the nearest hundredth of a centimeter)
What are 5.07 centimeters?
In the given figure, solve for x.
(Round to the nearest hundredth of a millimeter)
(Pictured Separately)
What are 17.87 millimeters?
A triangle sits on (2,1), (8,7), and (12,4). Find what type of triangle it is.
What is a scalene obtuse triangle?
If triangle 1 and 2 are similar, find the hypotenuse of triangle 2.
(Please answer in centimeters)
(Pictured Below)
What are 39 centimeters?
From the top of a 200 meters high building, the angle of depression to the bottom of a second building is 20 degrees. From the same point, the angle of elevation to the top of the second building is 10 degrees. Calculate the height of the second building.
(Round to the nearest hundredth of a meter)
What are 296.89 meters?
Two circles are concentric. The radius of the large circle is 10 meters and that of the small circle is 6 meters. What is the length of the tangent AB?
(Pictured Separately and hint radii and tangents are perpendicular to one another).
What are 16 Meters?
In the given figure, solve for x.
(Pictured Separately)
What are 10-degrees?
Find the Area of a trapezoid that sits on the origin, (10, 0), (7, 4), and (3, 4).
What are 28 units2?
Two poles are leaned against a building such that they make the same angle between the building and the pole. The 7 m pole reaches 4 m up the wall. How much further up the wall does the 10 m pole reach?
(Pictured separately)
(Round to the nearest hundredth of a meter)
What are 1.71 meters?
Find the angles of a right triangle with an area of 400 m2 and one leg of 20 m.
(Round to the nearest hundredth of a meter)
What are 90, 63.43, and 26.57?
In the given figure, AB is the diameter of the circle with center O. If ∠BOD = 15° & ∠EOA = 85°, then find the value of ∠ECA.
(Pictured Separately)
What are 35-Degrees?
In the given figure, solve for x.
(Round to the nearest hundredth of an inch)
(Pictured Separately)
What are 8.72 inches?
Write the equation of a circle whose radius is three and has an inscribed triangle with vertices of (-2.23, 2), (2.24, -2), and (3, 0). The perpendicular bisectors of the triangle intersect at the point (0,0).
(Hint: think of a circumcenter)
What is x2 + y2 = 9?
A smaller right triangle is enclosed in a bigger right triangle. The hypotenuses are parallel. The smaller triangle has a hypotenuse of 5 and a leg of 3. Find the angles of the bigger triangle and explain why they are what they are.
(Round to the nearest hundredth)
What are 53.13 degrees, 36.87 degrees, and 90 degrees because of angle similarity (corresponding angles)?