Question

triangle ABC - Triangle DEF Area of Triangle ABC is 18 and area of Triangle DEF is 32. if AB = 6 then find DE
(please guys give me quickly answer urgent)​

Answer 1

Answer:

The value of DE is 8.

Step-by-step explanation:

As per the data given in the question

We have to calculate the value of DE

As per question

It is given that triangle ABC - Triangle DEF Area of Triangle ABC is 18 and area of Triangle DEF is 32. if AB = 6.

Area of Triangle ABC/Area of Triangle DEF=$\frac{(AB)^2}{DE^{2} }$

⇒$\frac{18}{32}=\frac{6^{2} }{x^{2} }$   (let us assume that DE=X)

⇒18$x^{2}$=1152

⇒$x^{2}$=$\frac{1152}{18}$

⇒x=$\sqrt{64}$

⇒x=8 or DE=8

As per questions triangle ABC - Triangle DEF .

so, the value of DE=8.

Hence, the value of DE is 8.

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Answer 2

triangle ABC - Triangle DEF Area of Triangle ABC is 18 and area of Triangle DEF is 32. if AB = 6 then find DE is 8.

Step-by-step explanation:

Let the side DE be x.

Area of Δ ABC/ Area of Δ DEF $=\frac{AB^{2} }{DE^{2} }$

$\frac{18}{32} = \frac{6^{2} }{x^{2} }$

$\frac{18}{32} = \frac{36}{x^{2} }$

$x^{2} = \frac{32 * 36}{18}$

$x^{2} = 64$

$x = \sqrt{64}$

$x = 8$

Hence, the side DE is 8.

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