the figureoken at the pointand let CB take theThen. ACO m. AD 8 m and CD) - CBth - 6) m.From right ADAC by Pythagoras' theorem. we have:CD = AC + AD(- 6) = 6° +82= 36 +64 = 100 = (10)= (h- 6) = 10 = h = 1046) - 16 m.Hence, the original height of the tree was 16 m.Find the length of the hypotenuse of aEXERCISE 150chuse of a right triangle, the other two sides of which measure9 cm and 12 cm.The hypotenuse of a right triangle is 26 cm long. If one of the remaining two sideslong, find the length of the other side.The length of one side of a right triangle is 4.5 cm and the length of its hypotenuse isFind the length of its third side.length of its hypotenuse is 7.5 cm.Hist. Let the third side be x cm. Then,x =7.5) -(4.5)' = 17.5+4.5)(7.5-4.5) = (12x 3) = 36 = 16).The two legs of a right triangle are equal and the square of its hypotenuse is 50. Find thelength of each leg.5. The sides of a triangle measure 15 cm, 36 cm and 39 cm. Show that it is a right-angledtriangle.Hint. (39)-(36)" = (39+36)(39-36) = (753) = (5x5x3x 3) = (5x3)2 = (15)In right AABC, the lengths of its legs are given as a = 6 cm and b = 4.5 cm. Find the lengthits hypotenuse.The lengths of the sides of some triangles are given below. Which of them are right-angled(i) a = 15 cm, b = 20 cm and c = 25 cm-9cm h = 12 cm and c = 16 cm