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Given :
seg DH ⊥ seg EF and seg GK ⊥ seg EF.
DH = 12cm, GK = 20 cm and
Area (ᐃDEF) = 300 cm ²
To find :
- EF
- Area (ᐃGEF)
- Area ( square DGEF )
solution:
1 .
Area of a (ᐃDEF) = 1/2 × EF × DH
300=( 1/2)× EF × DH
EF = 50 cm
2.
ᐃDEF and ᐃGEF have the common base EF
therefore :
there areas are proportional to their corresponding sides.
area( ᐃDEF)/ area (ᐃGEF) = DH / GK
on putting values ,
area (ᐃGEF) = 500 cm ²
3.
Area ( square DGEF ) = area ( triangle DEF ) + area ( GEF )
= (300+ 500 )cm ²
= 800 cm ²
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