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Step-by-step explanation:
From the given figure:-
∆DEF is a right angled triangle
ED=x units
EF=17 units
DF=8 units
By Pythagoras Theorem,
In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
EF²=DE²+DF²
=>17²=x²+8²
=>289=x²+64
=>289-64=x²
=>225=x²
=>x²=225
=>x=√225
=>x=15 units
DE=x=15 units
Answered by
1
Answer:
x=15cm
Step-by-step explanation:
the triangle is right triangle right angled at D
by Pythagoras theorem
(DF)^2+(X)^2=(17)^2
(8)^2+(X)^2=(17)^2
64+X^2=289
X^2=289-64
X^2=225
X=√225
X=15cm
hope it may help you
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