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In the figure given below, ABC is an iso...

In the figure given below, ABC is an isosceles right-angled trinagle and DEFG is a rectangle. If AD=AE=3 cm and DB=EC = 4 cm, find the area of the shaded region.

Text Solution

Verified by Experts

`In/_ADE`
`DE^2=AD^2+AE^2`
`DE^2=9+9=18`
`DE=3sqrt2 cm`
`In/_ABC`
`BC^2=AB^2+AC^2`
`BC^2=49+49=98`
`BC=7sqrt2cm`
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