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Question 2
Construct a right triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.
Construct a right triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.
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Solution
To construct: A right angled triangle DEF where DF = 6 cm and EF = 4 cm
Steps of construction:
(a) Draw a line segment EF = 4cm.
(b) At point Q, draw EX ⊥ EF.
(c) Taking F as centre and radius 6 cm, draw an arc. ( Hypotenuse) (d) This are cuts the EX at point D.
(e) Join DF.
It is the required right angled triangle DEF.
Steps of construction:
(a) Draw a line segment EF = 4cm.
(b) At point Q, draw EX ⊥ EF.
(c) Taking F as centre and radius 6 cm, draw an arc. ( Hypotenuse) (d) This are cuts the EX at point D.
(e) Join DF.
It is the required right angled triangle DEF.
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