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Nastasia [14]
3 years ago
6

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

Mathematics
1 answer:
Anarel [89]3 years ago
8 0

Answer:

<h2>24 cm</h2>

Solution,

from the figure,height of ∆ DBC=36-h

Now,in two similar triangles, ratio of corresponding sides are equal to ratio of their heights.

Since, ∆DBC~∆EBA

\frac{36 - h}{h}  =  \frac{dc}{ae}  \\ or \:  \frac{36 - h}{h}  =  \frac{10}{20}  \\ or \: 20(36 - h) = 10 \times h(cross \: multiplication) \\ or \: 720 - 20h = 10h \\ or \:  - 20h - 10h =  - 720 \\ or \:  - 30h =  - 720 \\ or \: h =  \frac{ - 720}{ - 30}  \\ h = 24 \: cm

Height of ABE =24 cm

hope this helps...

Good luck on your assignment...

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