Right triangle practice problems - page 76 of 126
Number of problems found: 2508
- Cutting triangle wood
The carpenter cut a right-angled triangle with free sides of 550 mm and 200 mm from the wooden canvas, the face of a rectangle with dimensions of 80 CM and 65 CM. How many square centimeters will the waste make up? - Rectangle ABCD
The rectangle ABCD is given whose | AB | = 5 cm, | AC | = 8 cm, ∢ | CAB | = 30°. How long is the other side, and what is its area? - Determine the area
Determine the area of the trapezoid ABCD, in which the following holds: AB= 6cm, Area of triangle ABC= 15 cm2, area of triangle BCD= 20 cm2, AB||CD. - Parcel
The parcel is rectangular, a trapezoid with bases of 12 m and 10 m and a height of 8 m. On the parcel was a built object with a footprint of an isosceles triangle, with a side of 4 m and a height of three-quarters of a meter. What is the area of the unbui - The base 2
The base diameter of a right cone is 16cm, and its slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, and convert it to 3 significant figures. Take pi =3.14 - Circumscribed circle
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - Trapezoid angles
Trapezoid with sides a = 10, b = 20, c = 25, d = 15. Calculate all internal angles. - Decagon area
Find the area of a regular decagon if its side is 10 cm in size. - Triangle circle proof
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Container NDR
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3dm and a height of 20cm. Will the cylinder overflow or not be complet - Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - RT = legs, circle
One leg of a right triangle ABC has length a= 14 cm and the radius of the circle inscribed in this triangle r= 5 cm. Calculate the length of the hypotenuse and its other leg. - Triangle circle area
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? - Polygon angle ratio
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have? - Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area. - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or - Isosceles triangle
Jan and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent with walls comprising six identical isosceles triangles. Their lower side is 2 m long, and the height to this side measures 2.5 - Diagonal in rectangle
In the ABCD rectangle is the center of BC, point E, and point F is the center of the CD. Prove that the lines AE and AF divide diagonal BD into three equal parts.
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