Triangles Questions and Lessons

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

What do you mean by projection rule?

Ankit Pushp

JEE/Board Maths Tutor

Projection Formula gives the relation between angles and sides of a triangle. We can find the length of a side of the triangle if other two sides and corresponding angles are given using projection formula. If a, b and c be the length of sides of a triangle and A, B and C are angles opposite to the sides respectively, then projection formula is given below: a = b cos C + c cos B b = c cos A + a cos C c = a cos B + b cos A

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

Name some properties of triangle?

Ankit Pushp

JEE/Board Maths Tutor

These are some well known properties of all triangles. See the section below for a complete list. The interior angles of a triangle always add up to 180°. The exterior angles of a triangle always add up to 360°.

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

Define ptolemy s theorem?

Ankit Pushp

JEE/Board Maths Tutor

In Euclidean geometry, Ptolemy's theorem is a relation between the four sides and two diagonals of a cyclic quadrilateral (a quadrilateral whose vertices lie on a common circle). The theorem is named after the Greek astronomer and mathematician Ptolemy (Claudius Ptolemaeus).

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Answered on 08/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

What is the difference between angle of elevation and angle of depression?

Prassan Shah

Maths expert

Angle of elevation is used when eye is observing any object above it and angle of depression is used when eye is observing any object below it.

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

What is the formula for measuring height of a triangle?

Ankit Pushp

JEE/Board Maths Tutor

The height of a triangle can be found if you have an angles and a side, if the angle is between the base and the side you have, or all three sides. We'll call the sides of the triangle a, b, and c, and the angles, A, B, and C. If you have all three sides, you'll use Heron's formula, and the formula for the area of a triangle. If you have two sides and an angle, you'll use the formula for the area given two angles and a side. A = 1/2ab(sin C).

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

What is the process for measuring radius of the inscribed and circumscribed circles of regular polygon?

Ankit Pushp

JEE/Board Maths Tutor

Dist. of centre from vertex will give circum radius. perpendicular dist. of centre from side will give inradius.

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

What do you mean by escribed circle?

Ankit Pushp

JEE/Board Maths Tutor

Define escribed circle: A circle outside of a triangle that is tangent to one of its sides and also to the other two sides that have been extended.

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

What is the trigonometrical formula of Sin A / 2 for half angle?

Ankit Pushp

JEE/Board Maths Tutor

2sin(A/4).cos(A/4).

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

What do you mean by Napier s Analogy?

Ankit Pushp

JEE/Board Maths Tutor

Definition of Napier's analogies: Four formulas giving the tangent of half the sum or difference of two of the angles or sides of a spherical triangle in terms of the others.

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Answered on 07/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Triangles

What is the formula for measuring distance from height to hypotenuse of a right triangle?

Veeranna

Math Magician

Ac2=ab2+bc2.

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