Question

please say me in the answer
who is say the answer that member I make as brinlist please say me in the answer ​

Answer 1

Answer:

5m is your required answer.

Answer 2

$\\\;\underbrace{\underline{\sf{Understanding\;the\;Concept\;:-}}}$

Here the Concept of Pythagoras Theorem has been used. We see that we are given the height of the tent . Now we are given the distance between the sticks. We know that the distance of each stick from tent will be equal then only tent will be balanced and won't fall at any side. From this we can find the distance between the the height of tent and each stick and apply Pythagoras Theorem there.

Let's do it !!

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★ Formula Used :-

$\\\;\boxed{\sf{\pink{(Hypotenuse)^{2}\;=\;\bf{(Base)^{2}\;+\;(Height)^{2}}}}}$

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★ Solution :-

Given,

» Height of the Tent = 3 m

» Distance between the sticks = 8 m

We know that, the height of the triangular tent is ⊥ to the ground. This means its forms the angle of 90° with ground.

This means we get two right triangles into the Triangular Tent. Now we see that dimensions of both of them are same. This means length of tent from its top to each stick will also be equal.

• Distance of stick from height of tent = ½ × 8 = 4 m

✒ Pythagoras Theorem :: According to the Pythagoras Theorem, the square of Hypotenuse is equal to the sum of squares of its base and height.

Now if we take a right triangle within the tent, then,

• Height = 3 m

• Base = 4 m

• Hypotenuse = Length of tent from its top to each stick

By applying Pythagoras Theorem, we get

$\\\;\sf{:\rightarrow\;\;(Hypotenuse)^{2}\;=\;\bf{(Base)^{2}\;+\;(Height)^{2}}}$

By applying values,

$\\\;\sf{:\rightarrow\;\;(Hypotenuse)^{2}\;=\;\bf{(4)^{2}\;+\;(3)^{2}}}$

$\\\;\sf{:\rightarrow\;\;(Hypotenuse)^{2}\;=\;\bf{16\;+\;9}}$

$\\\;\sf{:\rightarrow\;\;(Hypotenuse)^{2}\;=\;\bf{25}}$

$\\\;\sf{:\rightarrow\;\;(Hypotenuse)\;=\;\bf{\sqrt{25}}}$

$\;\bf{:\rightarrow\;\;Hypotenuse\;=\;\bf{\orange{5\;\;m}}}$

$\\\;\underline{\boxed{\tt{Length\;\:of\;\:tent\;\:from\:\;top\;\:to\;\:each\;\:stick\;=\;\bf{\purple{5\;\;m}}}}}$

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★ More Formulas Related to Triangles :-

$\\\;\sf{\leadsto\;\;Area\;of\;Triangle\;=\;\dfrac{1}{2}\;\times\;Base\;\times\;Height}$

$\\\;\sf{\leadsto\;\;Semi\:-\:Perimeter\;of\;Triangle,\;s\;=\;\dfrac{Sum\;of\;all\;sides}{2}}$

$\\\;\sf{\leadsto\;\;Area\;of\;Triangle\;=\;\sqrt{s(s\;-\;a)(s\;-\;b)(s\;-\;c)}}$

• Properties of Triangle ::

• It has three sides.

• Equilateral triangle is the triangle whose all sides are equal.

• Isosceles Triangle is the triangle whose two sides are equal.

• Scalene Triangle is the triangle whose all three sides are of different length.