# Absolute value + Pythagorean theorem - examples

- Triangle

Triangle KLM is given by plane coordinates of vertices: K[-12, -11] L[-15, -18] M[-13, -12]. Calculate its area and itsinterior angles. - Crossroads

The rectangular crossroads comes passenger car and an ambulance, the ambulance left. Passenger car is at 43 km/h and ambulance 52 km/h. Calculate such a relative speed of the ambulance moves to the car. - Airplane navigation

An airplane leaves an airport and flies due west 120 miles and then 150 miles in the direction S 44.1°W. How far is the plane from the airport (round to the nearest mile)? - Vector

Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2). - Goniometric form

Determine goniometric form of a complex number ?. - Cube - wall

V kocke ABCDEFGH je ?. Aký je povrch kocky? - Unit vector 2D

Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10]. - Vectors

Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c? - 3d vector component

The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3? - Right triangle - leg

Calculate to the nearest tenth cm length of leg in right-angled triangle with hypotenuse length 9 cm and 7 cm long leg. - Moivre 2

Find the cube roots of 125(cos 288° + i sin 288°). - Find the 5

Find the equation with center at (1,20) which touches the line 8x+5y-19=0 - Three points

Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?

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Pythagorean theorem is the base for the right triangle calculator.