Question

Use similar triangles to calculate the height, h cm, of triangle ABE. 10 cm 36 cm D B 20 cm E Optional working I h = Answ cm Search​

Answer 1

h=24

Explanation:

Since the traingles are similar we can calculate the scale factor

20/10 = 2
So the Linear Scale Factor is 2

We can use that to figure out the ratio between the 2 triangles
Since DC = 10 and AE = 20

We cans say that the ratio between DBC and ABE is 2:1

Using this we can see that the ratio of the height is split into 2:1 and the total is 3

Knowing this we can calculate the the heights of both triangles

36 / 3 = 12

Height of small traingle = 1*12 = 12

Height of large triangle = 2*12 = 24