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Find the value of x in the triangle shown below.

Find the value of x in the triangle shown below.-example-1

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Answer:


\huge\boxed{\sf P =√(45) }

Explanation:

Since, the triangle is a right angled triangle, we can use Pythagoras theorem to find the perpendicular of the triangle.

Which is:


(Hypotenuse)^2=(Base)^2+(Perpendicular)^2

Rearranging

(Perpendicular)² = (Hypotenuse)² - (Base)²

Where P = ?, H = 7 and B = 2

(P)² = (7)² - (2)²

(P)² = 49 - 4

(P)² = 45

Take sqrt on both sides


P =√(45)


\rule[225]{225}{2}

Hope this helped!

~AH1807

User CharlieBrown
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