Right triangle + planimetrics - practice problems - page 35 of 57
Number of problems found: 1136
- Reflector
The circular reflector throws a light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane? - Trapezoid
The rectangular trapezoid ABCD with a right angle at the vertex A has sides a, b, c, and d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm - Isosceles trapezoid
What is the height of an isosceles trapezoid, the base of which has a length of 11 cm and 8 cm and whose legs measure 2.5 cm? - Hypotenuses 83154
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle.
- Calculate 48073
Calculate the area of the isosceles trapezoid ABCD if a = 14 cm, c = 8 cm, and the size of the angle DAB is 52 °. - Right 24
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse dividing it into two unequal segments. The length of one segment is 5 cm. What is the area of the triangle? Thank you. - Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm. - Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next square, circle, and so on to infinity. Calculate the sum of the area of all these squares. - A kite
ABCD is a kite. Angle OBC = 20° and angle OCD = 35°. O is the intersection of diagonals. Find angle ABC, angle ADC and angle BAD.
- Drainage channel
The cross-section of the drainage channel is an isosceles trapezoid whose bases have a length of 1.80 m and 0.90 m, and the arm has a length of 0.60 meters. Calculate the depth of the channel. - ISO trapezium
Calculate the area of an isosceles trapezoid with base 95 long, leg 27 long, and with the angle between the base and leg 70 degrees. - Circumference 1608
The bases of the isosceles trapezoid measure 110m and 50m. The distance between the bases is 40m. Calculate its circumference. - Isosceles trapezoid
Calculate the circumference and the area of the isosceles trapezoid if you know the size of the bases is 8 and 12 cm, and the size of the arms is 5 cm. - Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area.
- Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Right-angled 78394
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle. - Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1? - Diagonals 5113
In the diamond KLMN, the lengths of the diagonals are 10 cm and 6 cm. Determine the angle size that the longer diagonal makes with the side of the diamond. - Isosceles 7566
A right isosceles triangle is inscribed in the circle with r = 8 cm. Find triangle area S. How much percent does the triangle occupy the area of the circle?
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