Question

If RV = x+6, US = 5x-9, and RS = 11, find VT and ST

Answer 1

The values of VT and ST for the given rectangle are 13 and 23.56 respectively.

The given parameters:

• RV = x + 6
• US = 5x - 9
• RS = 11

The value of VT and ST is calculated as follows;

from the given diagram we can conclude the following;

2RV = RT = US

$2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7$

RT = 2RV = 2VT = 2(7 + 6) = 26

VT = ¹/₂ x 26

VT = 13

The value of ST can be determined from Pythagoras theorem as follows;

$ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56$

Learn more about Pythagoras theorem here:  brainly.com/question/12306722