Question
Download Solution PDFIf three sides of a right-angled triangle are (k – 4) cm, k, and (k + 4), then the value of k is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Three sides of the triangle are (k – 4), k and (k + 4).
Formula:
As we know,
Pythagoras Theorem
(Hypotenuse)2 = (Perpendicular)2 + (Base)2
Calculation:
According to the question
(k + 4)2 = (k – 4)2 + k2
⇒ k2 + 16 + 8k = k2 + 16 – 8k + k2
⇒ k2 = 16k
⇒ k = 16
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