Hence Proved
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RS Aggarwal Class 11 Maths Solution of Triangles
Therfore, Hence Proved
Answer Both the boats starts from A and boat 1 reaches at B and boat 2 reaches at C. Here, AB = 60Km and AC = 50Km So, the net distance the boats is: Hence Proved
If the angles of a triangle are in the ratio 1 : 2 : 3, prove that its corresponding sides are in the ratio
Answer Given: Angles of a triangle are in the ratio 1 : 2 : 3 Need to prove: Its corresponding sides are in the ratio Let the angles are x , 2x , 3x Therefore, Hence Proved
In a ΔABC, if a = 3 cm, b = 5 cm and c = 7 cm, find cos A, cos B, cos C.
Given: a = 3 cm, b = 5 cm and c = 7 cm Need to find: cos A, cos B, cos C Hence Proved
Solve the triangle in which a = 2 cm, b = 1 cm and
Hence Proved.
In a ∆ABC,
show that the triangle is right- angled. Answer This is one of the properties of right angled triangle. And it is satisfied here. Hence, the triangle is right angled. [Proved]
In a ∆ABC,
Therefore, That means a and b sides are of same length. Therefore, the triangle is isosceles. [Proved]
In any ΔABC, prove that
In any ΔABC, prove that
Answer
In any ΔABC, prove that
4R2 [ - sin2Asin2B + sin2Asin2C – sin2Bsin2C + sin2Asin2B – sin2Asin2C + sin2Bsin2C ] = 4R2 [0] = 0 [Proved]
In any ΔABC, prove that
Therfore, a=2R sin A------(a) Similarly,b=2R Sin B and c=2R sin C
In any ΔABC, prove that
Similarly, b = 2R sinB and c = 2R sinC From Right hand side,
In any ΔABC, prove that a
Similarly, b = 2R sinB and c = 2R sinC From Right hand side,
In any ΔABC, prove that a sin A – b sin B = c sin (A – B)
: Need to prove: a sin A – b sin B = c sin (A – B) Left hand side, = a sin A – b sin B = (b cosC + c cosB) sinA – (c cosA + a cosC) sinB = b cosC sinA + c cosB sinA – c cosA sinB – a cosC sinB =...
In any ΔABC, prove that
In any ΔABC, prove that a(b cos C – c cos B) = (b2 – c 2 )
Left hand side, a(b cos C – c cos B) = ab cos C – ac cos B