Geometry help quickly

Mathematics

1 answer:

lbvjy [14]3 years ago

6 0

Answer:

RQ = 18

Step-by-step explanation:

KR is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is

$\frac{KP}{KQ}$ = $\frac{PR}{RQ}$ , substitute values

$\frac{50}{45}$ = $\frac{38-x}{x}$ ( cross- multiply )

45(38 - x) = 50x ← distribute left side

1710 - 45x = 50x ( add 45x to both sides )

1710 = 95x ( divide both sides by 95 )

18 = x

That is RQ = 18

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