Question

() Prove the following statement, 'In a right angled triangle, the square of the
hypotenuse is equal to the sum of the squares of remaining two sides.'
(ii) MRPN is cyclic, ZR=(5x - 13), N= (4x + 4)º. Find the measures
of ZR and N.
(iii) APQR - ALTR. In A POR, PQ = 4.2 cm, QR = 5.4 cm, PR = 4.8 cm. Construct
PQ 3
LT
APQR and ALTR such that >=-
(iv) Two buildings are facing each other on a road of width 12 metres. From the top
of the first building which is 10 metres high, the angle of elevation of the top
of the second is found to be 60°. What is the height of the second building?
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Answer 1

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangles have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90