Right triangle + Euclid's theorems - practice problems - page 2 of 3
Number of problems found: 56
- Euclid3
Calculate the height and sides of the right triangle if one leg is a = 100 km and the section of hypotenuse adjacent to the second leg cb = 14 km. - Right-angled - legs
The lengths of legs are a = 7.2 cm and b = 10.4 cm in the right-angled triangle ABC. Calculate: a) lengths of the sections of the hypotenuse b) height to the hypotenuse c - Perpendicular projections
In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter. - Hypotenuse and height
In a right triangle is length of the hypotenuse c = 195 cm and height hc = 70 cm. Determine the length of both triangle legs. - Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm. - Triangle Euclid parameters
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8 - Without Euclid laws
Right triangle ABC with a right angle at the C has a=5 and hypotenuse c=22. Calculate the height h of this triangle without the use of Euclidean laws. - Area of RT
A right triangle has segments on the hypotenuse (created by the altitude) of lengths 15 cm and 9 cm. Determine the area of this triangle. - Euklid4
The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle. - Area of RT
Calculate the area of a right triangle in which the hypotenuse has length 10 and one of the segments that the altitude creates on the hypotenuse has length 5. - Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=26. Calculate the height of the triangle hAB to the side AB. - Leg and height
Solve right triangle with height v = 7.8 m and shorter leg b = 15 m. - Rectangle
In rectangle ABCD with sides |AB|=19, |AD|=19, a perpendicular is drawn from point A to diagonal BD, meeting it at point P. Determine the ratio r = (|PB|)/(|DP|). - Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5 cm. - RT sides
Find the sides of a rectangular triangle if legs a + b = 17 cm and the radius of the written circle ρ = 2 cm. - Triangle ABC
There is the triangle ABC with the side BC of length 2 cm. Point K is the middle point of AB. Points L and M split the AC side into three equal lines. KLM is an isosceles triangle with a right angle at point K. Determine the lengths of the sides AB, AC tr - Conical area
A right-angled triangle has sides a=12 and b=19 at the right angle. The hypotenuse is c. If the triangle rotates on the c side as an axis, find the volume and surface area of the conical area created by this rotation. - Triangle - many properties
In a right triangle ABC with a right angle at the vertex C, it is given: a = 17 cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r a - Euclid line construction
Using Euclid's theorem, construct a line of length √15. - Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle?
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