What is the value of x?Enter your answer in the box. ?cm
Accepted Solution
A:
Answer: The value of the x is 176.6 cm .Step-by-step explanation:By using the pythagorean theorem .Hypotenuse² = Perpendicular² + Base²As in the ΔTVY .TV² = VY² + YT²As TV= 95.2 cmVY = 34 cm Putting the values in the above 95.2² = 34² + YT²9063.04 - 1156 = YT²7907.04 = YT²[tex]YT = \sqrt{7907.04}[/tex]YT = 88.9 cm (Approx)As in the ΔTYK .TK² = KY² + YT²TK = 168 cm TY= 88.9 cmPutting the values in the above 168² = 88.9² + YK²28224 - 7903.21 = YK²[tex]YK = \sqrt{20320.79}[/tex]YK = 142.6 cm (Approx)Thus VK = VY + YK Putting the values in the aboveVK = 34 + 142.6 = 176.6 cm Therefore the value of the x is 176.6 cm .