Question

Oints Q and R are midpoints of the sides of triangle ABC.

Answer 1

Answer:

AQ = 20 units

Step-by-step explanation:

Comparing triangle AQR to ABC,

$\frac{AQ}{AB}$ = $\frac{QR}{BC}$

$\frac{4p}{8p}$ = $\frac{2p + 3}{6p-4}$

cross multiply and make p the subject of formula, we have:

8p (2p+3) = 4p(6p-4)

16$p^{2}$ + 24p = 24$p^{2}$ - 16p

24p + 16p = 24$p^{2}$ - 16$p^{2}$

40p = 8$p^{2}$

divide through by 8p,

p = 5

Therefore, AQ = 4p

                        = 4 × 5

                        = 20

AQ = 20 units