<img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20%5Csqrt%7B%204%7D%20%7D%7B3%20%5Csqrt%7B25%7D%20%7D%20" id="TexFormula1" ti

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2 years ago

tle=" \frac{ \sqrt{ 4} }{3 \sqrt{25} } " alt=" \frac{ \sqrt{ 4} }{3 \sqrt{25} } " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

kirza4 [7]2 years ago

5 0

Answer:

7.5........................

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Read 2 more answers

What is the length of DE

HACTEHA [7]

Answer:

DE = 20units

Step-by-step explanation:

In Δ ABC,

angle A is congruent to angle B.... (given)

therefore, ΔABC is an isoceles triangle.

therefore, CA = CB..... (side opposite to congruent angles are congruent in an isoceles triangle)

therefore, CB = 4 units

In ΔCDE,

angle D is congruent to angle E.... (given)

therefore, ΔCDE is an isoceles triangle.

therefore, CD = CE

therefore, CD = 8 units

ΔCDE ~ ΔCBA

therefore,

$\frac{cd}{cb} = \frac{ce}{ca} = \frac{de}{ab} \\ therefore \: \frac{8}{4} = \frac{8}{4} = \frac{de}{10 } \\ therefore \\ \frac{2}{1 } = \frac{de}{10 } \\ de \: = 2 \times 10 = 20units$