The three sides of a triangle are of measure 8,x and 17 respectively.For what value x will it become the base of a right angle triangle?
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The three sides of a triangle are of measure 8,x and 17 respectively.For what value x will it become the base of a right angle triangle?
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Answer:
Step-by-step explanation:
In a right triangle , the longest side is called the Hypotenuse .
here, hypotenuse = 17
base = x
height = 8
∴ by pythagoras law , (17)² = (x)² + (8)²
⇒ 289 = x² + 64
⇒x² = 289 - 64
⇒x² = 225
⇒x = √225 = √15 ×15
∠x = 15
∴ Value of x = 15