Geometry of Triangles and Angles

Let the coordinates of the third vertex be (x,y). Applying the Pythagoras theorem in the right angled triangle, we get 8 = (x-2)² + y² + x² + (y-2)² 8 = x²+4-4x+y²+x²+y²+4-4y Cancelling 8, we get x²+y²-2x-2y=0 (Correct Answer)

The gonial is very high in children: 130^o in fetus and 140^o at birth, and it progressively decreases in the growth period.

The Whitworth thread form, developed by Joseph Whitworth, uses a 55° thread angle with rounded crests and roots, differing from the more common 60° metric thread. This British standard thread was widely used in historical engineering applications.

Adjacent angles that form a straight angle (also called a linear pair) always sum to 180 degrees. This is because a straight angle measures exactly 180 degrees by definition, and adjacent angles share a common vertex and ray.

An equilateral triangle has three equal sides and three equal angles. Since the sum of angles in any triangle is 180 degrees, each angle in an equilateral triangle measures 180/3 = 60 degrees.

The sum of interior angles in any triangle is always 180 degrees. This is a fundamental theorem in geometry that applies to all triangles - whether equilateral, isosceles, or scalene.

In a standard 4-dot Course Deviation Indicator (CDI) used with VOR/ILS navigation, each dot represents 2.5 degrees of deviation from the selected course. Full deflection (4 dots) indicates 10 degrees off-course, providing pilots with precise lateral guidance information.

On a standard 5-dot CDI used with VOR/ILS, each dot represents 2 degrees of course deviation. This sensitivity allows pilots to track courses precisely - full-scale deflection (5 dots) indicates 10 degrees off course, which is the typical VOR/ILS full-scale indication.

When testing a VOR receiver using a VOT (VOR Test Facility), the correct indication is 180 degrees TO (with the flag showing TO). This is because VOTs transmit on all radials simultaneously, and the CDI interprets this as flying away from the station, resulting in the 180° TO indication.

All, except 'arc',‌ are enclosed figures.

The attitude indicator (AI) or artificial horizon shows the aircraft's orientation relative to the earth's horizon, including both pitch (nose up/down) and bank (angle of roll) information. The instrument display directly indicates the angle of bank through the relationship between the miniature aircraft and the horizon bar. ASI shows airspeed, VSI shows vertical speed, and DG shows heading - none of these display bank angle.

Largest angle of quadrilateral = (360^o x 6) / 18 = 120^o   Largest angle of triangle = (120^o x 5) / 6 – 30^o = 70^o  Second largest angle of quadrilateral = (360^{o x} 5)/18 = 100^o  Second angle = (100^o x 3) / 5 = 60^o  Third angle of triangle = 180^o - (70^o + 60^o) = 180^o – 130^o = 50^o 

A scalene triangle has three unequal sides and three unequal angles. An isosceles triangle has at least two equal sides. An equilateral triangle has all three sides equal. An obtuse-angled triangle has one angle greater than 90 degrees but may have equal or unequal sides.

Let the angles of the triangle be 2x, 3x & 4x, respectively. Also, 9x = 180, Or, x = 20 Therefore, 2x = 40 , 3x = 60 & 4x = 80 Therefore, this option is correct.

In LOGO turtle graphics, the turtle is represented as a small triangle. The pointed tip is called the nose, and the flat base opposite the nose is referred to as the back.