1.

Construct a right triangle whose base is 4 cm and the sum of its hypotenuse and the other side is 8 cm.

Answer»

SOLUTION :STEPS OF CONSTRUCTION
(i) Draw a line segment `BC=4` cm.
(ii) Construct `angleCBX=90^(@)`.
(iii) From B, set off `BD=8` cm.
(iv) Join `CD`.
(v) Draw the perpendicular bisector of `CD`, intersecting `BD` at `A`.
(VI) Join `AC`.
Then, `Delta ABC` is the required RIGHT TRIANGLE.
Verification :
On measuring, we find that
`AB+AC=(3+5) cm=8` cm.


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