In Fig. 7.223, D is the mid-point of side BC and AE⊥BC. If BC = a AC

1.	In Fig. 7.223, D is the mid-point of side BC and AE⊥BC. If BC = a AC=b, AB=c, ED=z, AD = p and AE =h, prove that: (i) b2=p2+ax+a24 (ii) c2=p2+ax+a24 (iii) b2+c2=2p2+a24
Answer» In Fig. 7.223, D is the mid-point of side BC and $A E ⊥ B C$ . If BC = a AC=b, AB=c, ED=z, AD = p and AE =h, prove that: (i) $b^{2} = p^{2} + a x + \frac{a^{2}}{4}$ (ii) $c^{2} = p^{2} + a x + \frac{a^{2}}{4}$ (iii) $b^{2} + c^{2} = 2 p^{2} + \frac{a^{2}}{4}$

In Fig. 7.223, D is the mid-point of side BC and AE⊥BC. If BC = a AC=b, AB=c, ED=z, AD = p and AE =h, prove that: (i) b2=p2+ax+a24 (ii) c2=p2+ax+a24 (iii) b2+c2=2p2+a24

Answer»

In Fig. 7.223, D is the mid-point of side BC and $A E ⊥ B C$ . If BC = a AC=b, AB=c, ED=z, AD = p and AE =h, prove that:

(i) $b^{2} = p^{2} + a x + \frac{a^{2}}{4}$
(ii) $c^{2} = p^{2} + a x + \frac{a^{2}}{4}$
(iii) $b^{2} + c^{2} = 2 p^{2} + \frac{a^{2}}{4}$

Discussion

No Comment Found

Related InterviewSolutions

A ladder of length 6 metres makes an angle of 45° with the floor while leaning against one wall of a room. If the foot of the ladder is kept fixed on the floor and it is made to lean against the opposite wall of the room, it makes an angle of 60° with the floor. Find the distance between two walls of the room. [CBSE 2011]
12. The height of a building is one-third of the height of telephone exchange tower standing on it . If the angle of elevation of the top of the building when seen from a point on the ground is 30^° , then find the tangent of angle of elevation of the top of the telephone exchange tower when seen from the same point .
Question 5 In the following question out of the four options only one is correct, write the correct answer: If 5x3−4=2x5, then the numerical value of 2x-7 is: (a) 1913 (b) −1319 (c) 0 (d) 1319
In figure displayed below, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ=110∘, then ∠PTQ is equal to
In the given figure, if ∠OAB=40∘, then ∠ACB = ___.
1. From a point 100 metre above a lake the angle of elevation of a stationary helicopter is 30^° and the angle of depression of reflection of the helicopter in the lake is 60 degree. Find the height of the helicopter above the lake.
If A and B are any two events having P(A∪B)=12 and P(A)=23 then probability of A ∩ B is (a) 12 (b) 23 (c) 16 (d) 13
For the given linear equation x−2y=1, match the different x values with their corresponding y values.
Let A be a square matrix of order n such that det(A)=10 and det(2A)2=40. Then the order of A is[1 mark]
A tangent is a secant with which of the following properties?

In Fig. 7.223, D is the mid-point of side BC and AE⊥BC. If BC = a AC=b, AB=c, ED=z, AD = p and AE =h, prove that: (i) b2=p2+ax+a24 (ii) c2=p2+ax+a24 (iii) b2+c2=2p2+a24

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment