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Find the length of side a.

Find the length of side a.-example-1
User Ashir
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2 Answers

29 votes
29 votes

Answer:

The answer is "A" (3)

Hope it helps! be safe and tell me if im wrong! :D

User Ikbear
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3.1k points
16 votes
16 votes


\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Find the length of side a.


\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

Okay, so to solve these type of questions we need to use the pythagoras property, which is ⇨ Hypotenuse² = Base² + Altitude².

Here,

  1. Hypotenuse (the longest side) = 5
  2. Altitude (height) = 4
  3. Base (the bottom line) = a

So, we have to find the base of the triangle .

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Hypotenuse² = Base² + Altitude²

(5)² = (a)² + (4)²

25 = a² + 16

25 - 16 = a²

9 = a²

√9 = a

3 = a

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

  • The length of side a is A. 3

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

NOTE :-


\downarrow
\downarrow

  • We used the pythagoras property to solve this question because the given triangle is a right angled triangle.
  • Note that the pythagoras property only works in the case of right angled triangles.