Question

Of a triangle

a) Calculate the length of ED.
b) Calculate the length of BE.
26 cm
20 cm
BX
5 cm
18 cm​

Answer 1

Complete question is attached.

Answer:

a) ED = 6.5 cm

b) BE = 14.4 cm

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:

`(AB)/(BC) = (AE)/(ED)`

Cross multiplying, we have:

AB * ED = AE * BC

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

`ED = (AE * BC)/(AB)`

Let's substitute figures,

`ED = (26 * 5)/(20)`

`ED = (130)/(20) = 6.5`

Therefore, length of ED is 6.5 cm.

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

`(AB)/(AC) = (BE)/(CD)`

Cross multiplying, we have:

AB * CD = AC * BE

Let's make BE subject of the formula,

`BE = (AB * CD)/(AC)`

From the triangle, length AC = AB + BC.

AC = 20 + 5 = 25

Substituting figures, we have:

`BE = (20 * 18)/(25)`

`BE = (360)/(25) = 14.4`

Therefore, length Of BE is 14.4cm