Question

solve this question!!​

Answer 1

Answer:

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Answer 2

${ \textbf{ \textsf{ \underline{ \underline{ ✠Question}}}}} :$

• A tree is broken at a height of 5 m from the garden and its top touches the ground at a distance of 12m from the base of the tree. Find the original height of the tree.

${ \textbf{ \textsf{ \underline{ \underline{ ✠Answer}}}}} :$

• The required height of the tree is 18 m

✠Given that :

• A tree is broken at the height of 5m.
• Its top touches the ground at the distance 12m.

✠To Find :

• Height of the tree.

${ \textbf{ \textsf{ \underline{ \underline{✠Basic \: term}}}}} :$

• As we know that, A Right angled triangle has one right angle( 90°).
• Oposite side of a triangle having right angle is called hypotenuse.
• The other two sides are Legs.

${ \textbf{ \textsf{ \underline{ \underline{✠Formula \: used}}}}} :$

☞[ square of hypotenuse ] = [ sum of the squares on legs]

$\rm \: {a}^{2} + {b}^{2} = {c}^{2}$

☞This property is known as pythagoras theorem

${ \textbf{ \textsf{ \underline{ \underline{ ✠Caculation}}}}} :$

As using pythagoras theorem,

$\to \: \rm \: {ab}^{2} + {bc}^{2} = {ac}^{2} \\ \to \: \rm \: {5}^{2} + {12}^{2} \\ \to \: \rm \: 25 + 144 \\ \rm{ac}^{2} = 169 \\ \rm \: ~~~Finding \: square \: root, \\ \rm \: ac = 13m$

Now finding orginal height of the tree= 5 +13 = 18

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