In Triangle ABC AB=×+5,BC=×,AC=25,BC=×angleB=90degrees find the vaule of ×?
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Answer:
x = 15 is the answer of the expression
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Step-by-step explanation:
We'll do this question by using Pythagoras Theorem.
H²=P²+B², acc. to figure AC²=AB²+BC²
25²=(x+5)²+x²
625= x²+25+10x+x²
625-25= 2x²+10x
600=2x²+10x
2x²+10x-600=0
2x²+40x-30x-600=0
2x(x+20)-30(x+20)=0
(2x-30)(x+20)=0
2x-30=0. OR. x+20=0
x=15 or -20. Ans.
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