Right triangle practice problems - page 6 of 126

Number of problems found: 2508

Number of sides
Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°.
A lamp
A lamp shade like that of a frustum has a height of 12 cm and an upper and lower diameter of 10 cm and 20 cm. What area of materials is required to cover the curved surface of the frustum?
ABCD rhombus
ABCD is a rhombus with sides 10.5cm. If the length of the diagonal AC=15.8cm, using cosine formula. a. calculate the length of the diagonal BD correct to the nearest cm b. the angles of the rhombus to the nearest degree.
Parallelogram - angles
In a parallelogram ABCD, if angle alpha measures ∠A = 70°, find all the other angles.
Angle and slope
Find the angle between the x-axis and the line joining the points (3, -1) and (4,-2) .
Triangles - segments
How many triangles can be formed with segments measuring one and 2/3 mm one 3/4 mm and 2 1/2 mm
The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area.
PQR - Euclid
Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ.
Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square.
Line segment
Find the length of the line joining points A(-4,8) and B(-1,4).
Two chords 2
The length of one of two chords of a circle is 12cm. If the chords are 6cm and 7cm away from the center of the circle, calculate the length of the second chord.
Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
Two chords 6
A chord PQ is 10.4cm long, and its distance from the center of a circle is 3.7cm. Calculate the length of a second chord RS, which is 4.1cm from the center of this circle.
A chord 2
A chord of length 16 cm is drawn in a circle of radius 10 cm. Calculate the distance of the chord from the center of the circle.
The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height.
Four points
There are 4 nonlinear points. How many triangles can form by joining them?
Slant height 3
The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height.
A triangle 3
A triangle has a base of 5 5/6 feet and a height of 7 2/5 feet. Find the area of the triangle as a mixed number.
Triangle hypotenuse calculation
Given a right triangle KLM with a right angle at M. What is the magnitude of the hypotenuse m if the magnitude of the normal to the hypotenuse m is 4?
Area of a triangle
Find the area of a triangle with a base of 7 mm and a height of 10 mm.

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