Step-by-step explanation:
Complete question is attached.
Answer:
a) ED = 6.5 cm
b) BE = 14.4 cm
Step-by-step explanation:
From the triangle, we are given the following dimensions:
AB = 20 cm
BC = 5 cm
CD = 18 cm
AE = 26 cm
We are asked to find length of sides ED and BE.
a) Find length of ED.
From the triangle Let's use the equation:
\frac{AB}{BC} = \frac{AE}{ED}BCAB=EDAE
Cross multiplying, we have:
AB * ED = AE * BC
From this equation, let's make ED subject of the formula.
ED = \frac{AE * BC}{AB}ED=ABAE∗BC
Let's substitute figures,
ED = \frac{26 * 5}{20}ED=2026∗5
ED = \frac{130}{20} = 6.5ED=20130=6.5
Therefore, length of ED is 6.5 cm.
b) To find length of BE, let's use the equation:
\frac{AB}{AC} = \frac{BE}{CD}ACAB=CDBE
Cross multiplying, we have:
AB * CD = AC * BE
Let's make BE subject of the formula,
BE = \frac{AB * CD}{AC}BE=ACAB∗CD
From the triangle, length AC = AB + BC.
AC = 20 + 5 = 25
Substituting figures, we have:
BE = \frac{20 * 18}{25}BE=2520∗18
BE = \frac{360}{25} = 14.4BE=25360=14.4
Therefore, length Of BE is 14.4cm
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