Question

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

Answer 1

Answer:

24 cm

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...

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