Right triangle practice problems - page 36 of 126
Number of problems found: 2508
- Triangle square area
A right triangle has an area of 36 cm². A square is placed in it so that two sides of the square are parts of two sides of a triangle, and one vertex of the square is in a third of the longest side. Determine the area of this square. - Triangle SAS
Calculate the triangle area and perimeter if the two sides are 46 m and 33 m long and angle them clamped is 170 °. - Triangle side angle
The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '. - Triangle base calculation
They make bases for table lamps from bronze in the shape of an isosceles triangle. How many m² are needed for 5 mats if the arms are 24 cm long and the height to the triangle's base is 1.5 dm? - Perpendicular forces
Distribute the force of magnitude F = 100 N into two perpendicular components with magnitudes F1 and F2 so that the angle between forces F1 and F is 43°52'. - Similarity of two triangles
The KLM triangle has a side length of k = 6.3cm, l = 8.1cm, m = 11.1cm. The triangle XYZ has a side length of x = 8.4cm, y = 10.8cm, z = 14.8cm. Are triangle KLM and XYZ similar? (write 0. If not, if yes, find and write the coefficient of a similarity) - Perpendicular and parallel
Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular and parallel lines. What angle does each line make with the x-axis, and find the angle between the lines? - Thales
Thales is 1 m from the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm, as shown. Calculate the depth of the hole. - Shadow and light
Nine meters height poplar tree has a shadow 16.2 meters long. How long does shadow have at the same time as Joe if he is 1,4m tall? - Triangle KLB
It is given an equilateral triangle ABC. From point L, the midpoint of the side BC of the triangle, it is drawn perpendicular to the side AB. The intersection of the perpendicular and the side AB is point K. How many percent of the area of the triangle AB - Rectangular triangles
The lengths of the corresponding sides of two rectangular triangles are in the ratio 2:5. At what ratio are medians relevant to hypotenuse these right triangles? At what ratio are the areas of these triangles? A smaller rectangular triangle has legs 6 and - Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25m and sides of 30m. Calculate the maximum number of flowers that can be planted in this bed, assuming that one flower requires about 8 dm² of square area. Round the result to the nearest - Mr. Bradshaw
Mr. Bradshaw is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 5 meters high. The ladder's base is 1 meter away from the house, where Mr. Bradshaw's son is holding it steady. How long is - Difference - altitude
The distance as the crow flies between Dolní and Horní Ves is 3 km, and the steady climb is 5%. What is the height difference between Horní and Dolní Ves rounded to the nearest meter? - Similar triangles In the triangle DEF is DE = 21cm, EF = 14.7cm, DF = 28cm. The triangle D'E'F' is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D'E'F' if the similarity coefficient is one-seventh.
- Course to airport
The plane flew from airport m on a course of 132° to airport n, then from n to p on a course of 235°. The distance between the airport's mn is 380 km, np 284 km. What will be the return course to m, and what is the distance between the airport's pm? - Selection 4
Selection triangle, which is similar to the given triangle RTG. ∆ RTG, r= 24 dm, t = 28 dm, g= 30 dm. ∆ SHV= 6 dm, h= 7.5 dm, v= 7 dm ∆ VSH= v= 7 dm, s= 6 dm, h= 7.5 dm ∆ HVS= h= 7.5 dm, v= 7 dm, s = 6 dm. ∆ VHS= v= 7 dm, h = 7.5 dm, s= 6 dm. ∆ HSV= h= 7. - Triangle similarity selection
Choose a triangle that is similar to the given triangle. - ∆ TFC= t= 8 cm, f= 9 cm, c= 7 cm. : ∆ PKU= p= 45 cm, k= 35 cm, u= 40 cm. ∆ UPK= u= 40 cm, p= 45 cm, k= 35 cm. ∆ PUK= p= 45 cm, u= 40 cm, k= 35 cm. ∆ KPU= k= 35 cm, p= 45 cm, u= 40 cm. ∆ KUP= k= 35 - Mast angles and height
Calculate the height of the mast, whose foot can be seen at a depth angle of 11° and the top at a height angle of 28°. The mast is observed from a position 10 m above the level of the base of the mast. - Triangle point coordinates
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right.
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