Square root + The right triangle altitude theorem - practice problems - last page
Number of problems found: 36
- Dragon altitude
The kite is tied to a string 85 meters long and hovers over a place 60 meters away from us. Calculate how high the dragon hovers. - Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 - Cableway
The cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than at the base station. - Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm.
- Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle. - 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. - Without Euclid laws
Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws. - Leg and height
Solve right triangle with height v = 7.8 m and shorter cathetus b = 15 m. - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals.
- Rhombus
It is given a rhombus with a side length of a = 20 cm. Touchpoints of the inscribed circle divided its sides into sections a1 = 13 cm and a2 = 7 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus. - Right Δ
A right triangle has one leg 72 cm in length and the hypotenuse 90 cm in size. Calculate the triangle's height. - Area of RT
Calculate the right triangle area in which the hypotenuse has length 14 and one hypotenuse segment has length 5. - Hypotenuse and height
In a right triangle is length of the hypotenuse c = 54 cm and height hc = 25 cm. Determine the length of both triangle legs. - Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle.
- Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center. - 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.
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