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PLZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPP!

Using similarity solve for x. Show all work.

PLZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPP! Using similarity solve for x. Show all work.-example-1
User Annet
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we know that
see the attached figure with letters

applying the Pythagorean theorem

in the triangle ABE
BE²=x²-9²------------> equation 1

in the triangle ABD
BD²=(16+9)²-x²--------> BD²=25²-x²-----------> equation 2

in the triangle BED
BD²=(BE)²+16²--------------> equation 3

I substitute 1 and 2 in 3
25²-x²=x²-9²+16²------> 25²+9²-16²=2x²-------> 2x²=450--------> x²=225
x=√225--------> x=15 cm

the answer is x=15 cm


PLZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPP! Using similarity solve for x. Show all work.-example-1
User Neomi
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