Question

construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.​

Answer 1

To construct: A right angle triangle DEF where DF=6cm and EF=4cm

Steps of construction:

(a) Draw a line segment EF=4cm

(b) At point Q, draw EX⊥EF

(c) Taking F as centre and radius 6cm, draw an arc (Hypotenuse)

(d) This arc cuts the EX at point D

(e) Join DF

It is the right angled triangle DEF

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Answer 2

To construct: A right angle triangle DEF where DF=6cm and EF=4cm

Steps of construction:

(a) Draw a line segment EF=4cm

(b) At point Q, draw EX⊥EF

(c) Taking F as centre and radius 6cm, draw an arc (Hypotenuse)

(d) This arc cuts the EX at point D

(e) Join DF

It is the right angled triangle DEF