Q. 1 B5.0( 1 Vote )

# Find the unknown values in each of the following figures. All lengths are given in centimeters. (All measures are not in scale)

We need to find x, y and z. i.e. FG and EF respectively.

Now,

In ΔHFG and ΔHBC

HFG = HBC by corresponding angles (DGBC)

HGF = HCB by corresponding angles (FGBC)

ΔHFG ΔHBC

( ΔHFG ΔHBC)

x = 3.6 cm

Now,

In ΔFHG and ΔFBD

DFB = HFG by vertically opposite angles

FDB = FGH by alternate angles (DBAC)

ΔFHG ΔFBD

6×3.6 = 12 + 4y ( x=3.6)

y = 2.4 cm

Now,

In ΔAEG and ΔABC

AEG = ABC by corresponding angles (EGBC)

AGE = ACB by corresponding angles (EGBC)

ΔAEG ΔABC

( ΔAEG ΔABC)

( x=3.6 and y=2.4)

z = 10 cm

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