Construct triangleEFG, where angleG=90, EF=10cm and angleE=45. Compare FG and EG .
Steps for constructing a triangle:
STEP I: Take any point G and draw a line passing through G.
STEP II: Draw a line perpendicular to the line passing through G and intersecting at a point G.
STEP III: Take any point E on this perpendicular line.
STEP IV: Taking the point E, draw a line EF = 10 cm such that it intersects the line passing through G and
Therefore, we get the required triangle EFG
Now in triangle EFG, we have
Now we know that equal angles have equal sides.
So, FG = EG