a C With reference to the figure shown below, the correct relationship between x, a, b and c is given in figure.
choose correct option related to figure and answer in 1 word.
[tex] a)x = \frac{a(b + c)}{c} [/tex]
[tex]b)x = \frac{a(b + c)}{b} [/tex]
[tex]c)x = \frac{ac}{b + c} [/tex]
[tex]d)x = \frac{a(b - c)}{b} [/tex]
prove using BPT
choose correct option related to figure and answer in 1 word.
[tex] a)x = \frac{a(b + c)}{c} [/tex]
[tex]b)x = \frac{a(b + c)}{b} [/tex]
[tex]c)x = \frac{ac}{b + c} [/tex]
[tex]d)x = \frac{a(b - c)}{b} [/tex]
prove using BPT
Answers & Comments
Answer:
Option C
Step-by-step explanation:
by thales theorem,
(rs/RQ) = (Ps/PQ)
substitute corresponding values,
[tex] \frac{x}{a} = \frac{c}{b + c} [/tex]
multiplying by a each side,
[tex] \frac{x}{a} \times a = \frac{c}{b + c} \times a \\ x = \frac{ac}{b + c} [/tex]