Hayleyyhyyidn
Answered

Get detailed and accurate responses to your questions on IDNLearn.com. Discover reliable and timely information on any topic from our network of experienced professionals.

Use similar triangles to calculate the height, h cm, of triangle ABE.

Use Similar Triangles To Calculate The Height H Cm Of Triangle ABE class=

Sagot :

Cairdeidn

Answer:

h=24cm

Step-by-step explanation:

∠DBC=∠ABE (vertically opposite angles)

∠CDB=∠AEB (alternate angles)

∠DCB=∠BAE (alternate angles)

Therefore the triangles DBC and ABE are similar.

That means that the triangles are in ratio to each other.

CD:AE

10:20

1:2

This means that the height of DBC is half the height of BAE.

Since the sum of their heights is 36, h is 2/3 of 36.

The height , h of the traingle is 24 cm.

What are Similar Triangles ?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

In other words, similar triangles are the same shape, but not necessarily the same size.

In the question , from the figure it is clear that

ΔDBC and  ΔABE are similar with AAA Similarity as

∠DBC=∠ABE (vertically opposite angles)

∠CDB=∠AEB (alternate angles)

∠DCB=∠BAE (alternate angles)

According to the theorem if the triangles are similar their sides are in ratio to each other.

CD : AE = 10 : 20 = 1 : 2

This means that the height of DBC =  half the height of ABE.

h+h' = 36

h+h/2 = 36

h= 24 cm

Therefore height of ΔABE is 24 cm .

To know more about similar triangles

https://brainly.com/question/25882965

#SPJ2

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.