Right triangle practice problems - page 36 of 86
Number of problems found: 1716
- Crosswind
A plane is traveling 45 degrees N of E at 320 km/h when it comes across a current from S of E at 115 degrees of 20 km/h. What are the airplane's new course and speed?
- 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 5cm.
- Northeasterly 9681
A military unit marches in a northerly direction from point A to point B, 15 km away. From place B, it goes 12 km in a northeasterly direction to place C. Determine the direct distance of cities A and C and certainly the deviation -alpha- by which the uni
- Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26?
- Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length.
- Billboard
A rectangular billboard is 2.5 m long with a diagonal of 2.8 m long. Calculate the perimeter and the area of the billboard.
- Reverse Pythagorean theorem
Given are the lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 66 dm, 60 dm, 23 dm ... Δ DEF: 20 mm, 15 mm, 25 mm ... Δ GHI: 16 cm, 20 cm, 12 cm ... Δ JKL: 58 cm, 63 cm, 23 cm ... Δ MNO: 115 mm,
- 3 positive charges
Three equal positive charges Q are located at the vertices of an isosceles right triangle ABC. The right angle is at vertex A. The length of side AB is 1m. What is the electric field strength at the center S of side BC, i.e., what force would act on a pos
- 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|).
- 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.
- Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C.
- 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)
- 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.
- 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 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.
- Rectangle
Calculate the length of the side HM and diagonal EM of rectangle EHMQ when given: |QM| = 29 cm and angle ∠ EHQ = 36 degrees.
- 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
- 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.
- Acreage
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.
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