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If the area of square 3 is 80 cm^2 and the area of square 2 is 100 cm^2, what is the area of square 1? HELP ASAP

If the area of square 3 is 80 cm^2 and the area of square 2 is 100 cm^2, what is the area of square 1? HELP ASAP class=

Answer :

Hrishii

Answer:

180 sq cm

Step-by-step explanation:

Square 1 formed on hypotenuse of the triangle, squares 2 and 3 are formed on the perpendicular legs of the triangle. Thus, by Pythagoras Theorem, A(square 1) will be equal to the sum of the areas of (square 2) and (square 3).

[tex]\implies A(square \:1) =A(square \:2)+A(square \:3) \\ \\ \implies \: A(square \:1) =100 + 80\\ \\ \implies \: A(square \:1) =180 \: {cm}^{2} [/tex]

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