Find the base of an isosceles …
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Yogita Ingle 5 years, 1 month ago
Base: ?
Area: 12 cm sq
side 1: 5 cm
The formula of area is :
1/2 × base × height
let the base be 2b and height be h.
b × h= 12
h= 12/b
use Pythagoras theorem:
b²+h²= 5²
so b²+ 12²/b²= 25
so next your equation will be: b( power 4) - 25b²+144=0
So next (b + 4)(b – 4)(b + 3)(b – 3) = 0
Neglecting the negative values, b could be 3 giving h = 4
or b could be 4 giving h = 3
This means the whole base could be 6 and the height is 4
OR the whole base could be 8 and the height is 3
0Thank You