Question

Please tell fast The value of X
11 Points ​

Answer 1

Given:

• the sides of a right angular triangle are 3m and 4m

To Find:

• the third side of the right anged triangle.

Solution:

◐ Here the Concept of Pythagoras Theorem has been used . We see that in a Right Triangle, according to Pythagoras Theorem, the square of the length of Hypotenuse that is the longest side is equal to the sum of squares of other two sides . Using this, let's do the question .

$\pink{\underline{\mathfrak{As\:we\:know \:that;}}}$

${ \large{ \underline{ \boxed{ \mathfrak{ {hypotenuse}^{2} = {side}^{2} + {side}^{2} }}\bigstar}}}$

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★let's consider★

↦ 3 as the side

↦ 3 as the side ↦ 4 as another side

↦ 3 as the side ↦ 4 as another side↦ x as the hypotenuse

❍ let's substitute the values now,

${ : \implies} \sf \: {h}^{2} = {s}^{2} + {s}^{2} \: \: \: \\ \\ \\ \\ { : \implies} \sf {x}^{2} = {3}^{2} + {4}^{2} \: \: \: \\ \\ \\ \\ { : \implies} \sf {x}^{2} = 9 + 16 \: \: \: \: \\ \\ \\ \\ { : \implies} \sf {x}^{2} = 25 \: \: \: \: \: \: \: \: \: \: \:\\ \\ \\ \\ { : \implies} \sf \: x = \sqrt{25} \: \: \: \: \: \: \: \: \\ \\ \\ \\ { : \implies} \sf \: x = 5 \bigstar \: \: \: \: \: \: \: \: \: \:$

✒ x = 5

More to know:

$\leadsto \sf \: area \: of \: a \: triangle = \frac{1}{2} bh \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \leadsto \sf \: area \: of \: a \: triangle = \sqrt{s (s - a)(s - b)(s - c)}$

★What is pythagoras therom:

➥Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle

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