Question

Of a triangle

Answer 1

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:

$\frac{AB}{BC} = \frac{AE}{ED}$

Cross multiplying, we have:

AB * ED = AE * BC

From this equation, let's make ED subject of the formula.

$ED = \frac{AE * BC}{AB}$

Let's substitute figures,

$ED = \frac{26 * 5}{20}$

$ED = \frac{130}{20} = 6.5$

Therefore, length of ED is 6.5 cm.

b) To find length of BE, let's use the equation:

$\frac{AB}{AC} = \frac{BE}{CD}$

Cross multiplying, we have:

AB * CD = AC * BE

Let's make BE subject of the formula,

$BE = \frac{AB * CD}{AC}$

From the triangle, length AC = AB + BC.

AC = 20 + 5 = 25

Substituting figures, we have:

$BE = \frac{20 * 18}{25}$

$BE = \frac{360}{25} = 14.4$

Therefore, length Of BE is 14.4cm