Question

16.7 pts Question 4 Find the value of x in the following rectangles 20 10. 11. 12. 16 15 10) 11) 12)

Answer 1

Soln (10 D a 15 с O ABC According to Pythagorues theorem ( hypotenuse) = (oppositeje+ (Adjacent)? Ac² AB²+ Bc² x² = 198+ (15)2 = 81 + 225 306 x² x = √306

Hence n = 17.4928 A 224 u B 20 Since с AD un BC I because ABCD is a rectangle) BL = 20 BCD According to pythagorous theorem BOZ - B C² t co² (84)² = (20)² + x² x²= (24)²-(20)² 576 • 400 x²= 176 x = √176 2² Hence & 13:26 64 12 P A 16 X с ១០ O ABC According theorem to pythagorus AB² + BC2 Ac². 116)2 = 181? + ? x² = 116) ²- 18² x²= 256-64 22a 192 N = /192 u= 13.8564 Hence