Right triangle practice problems - page 36 of 86
Number of problems found: 1716
- Rectangle  In rectangle ABCD with sides, |AB|=19, |AD|=19 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio r = (|PB|)/(|DP|). In rectangle ABCD with sides, |AB|=19, |AD|=19 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio r = (|PB|)/(|DP|).
- The roof  The tower's roof has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste. The tower's roof has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste.
- Equilateral triangle ABC  In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near point C, and point M lies on one-third of the side of the AC side closer to point A. Find what part of the ABC triangle contains the triangl In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near point C, and point M lies on one-third of the side of the AC side closer to point A. Find what part of the ABC triangle contains the triangl
- Perpendicular 62844  A body with a mass of 4 kg hits an obstacle at a speed of 10 m/s. After the collision, the body continued to move at a speed of 6 m/s, while the direction of this speed was perpendicular to the direction of the speed before the collision. Find: a) change A body with a mass of 4 kg hits an obstacle at a speed of 10 m/s. After the collision, the body continued to move at a speed of 6 m/s, while the direction of this speed was perpendicular to the direction of the speed before the collision. Find: a) change
- Trigonometric formula  Determine the value of the function tg x (tangent) when cotan x = -0.8 (cotg or cotangent); x holds in the second quadrant) Determine the value of the function tg x (tangent) when cotan x = -0.8 (cotg or cotangent); x holds in the second quadrant)
- Inscribed circle  XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm.
- Cathethus and the inscribed circle  A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle. A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle.
- Mirror  The dimensions of the mirror are 750mm x 700mm, the mirror should be tilted 8° from the wall. How many cm must it be tilted from the wall? The dimensions of the mirror are 750mm x 700mm, the mirror should be tilted 8° from the wall. How many cm must it be tilted from the wall?
- The  field  The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field circumference if one side of the field is 25 meters. The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field circumference if one side of the field is 25 meters.
- Rectangle  Calculate the length of the side HM and diagonal EM of rectangle EHMQ when given: |QM| = 29 cm and angle ∠ EHQ = 36 degrees. Calculate the length of the side HM and diagonal EM of rectangle EHMQ when given: |QM| = 29 cm and angle ∠ EHQ = 36 degrees.
- Crossroads  A passenger car and an ambulance come to the rectangular crossroads, and the ambulance leaves. The passenger car is moving at 39 km/h, and the ambulance is moving at 41 km/h. Calculate the relative speed of the ambulance moving to the car. A passenger car and an ambulance come to the rectangular crossroads, and the ambulance leaves. The passenger car is moving at 39 km/h, and the ambulance is moving at 41 km/h. Calculate the relative speed of the ambulance moving to the car.
- Acreage  What acreage has a rectangular plot whose diagonal is 34 meters long, and one side has a length of 16 meters? ... What acreage has a rectangular plot whose diagonal is 34 meters long, and one side has a length of 16 meters? ...
- RT sides  Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm.
- Triangle  Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
- Meridian ground speed  The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground? The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground?
- Climb  The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went? The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went?
- Rectangular  4624   The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land. The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land.
- Angle of diagonals  Calculate a rectangle's perimeter and area if its diagonal is 14 cm and the diagonals form an angle of 130°. Calculate a rectangle's perimeter and area if its diagonal is 14 cm and the diagonals form an angle of 130°.
- RT - inscribed circle  In a rectangular triangle with sides lengths> a = 30cm and b = 12.5cm, the right angle is at vertex C. Calculate the radius of the inscribed circle. In a rectangular triangle with sides lengths> a = 30cm and b = 12.5cm, the right angle is at vertex C. Calculate the radius of the inscribed circle.
- An observer  An observer standing west of the tower sees its top at an altitude angle of 45 degrees. After moving 50 meters to the south, he sees its top at an altitude angle of 30 degrees. How tall is the tower? An observer standing west of the tower sees its top at an altitude angle of 45 degrees. After moving 50 meters to the south, he sees its top at an altitude angle of 30 degrees. How tall is the tower?
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