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The area of the square adjacent to two sides of a right triangle are 29.25 square units and 13 units 30 POINTS

The area of the square adjacent to two sides of a right triangle are 29.25 square-example-1

2 Answers

4 votes

Answer:

6.5 units

Explanation:

User Mikeym
by
5.2k points
5 votes

Answer:


x=6.5\ units

Explanation:

step 1

Find the length side of the smaller square

The area of the square is equal to


A=a^(2)

so


a^(2)=13


a=√(13)\ units

step 2

Find the length side of the larger square

The area of the square is equal to


A=b^(2)

so


b^(2)=29.25


b=√(29.25)\ units

step 3

Find the value of x

Applying the Pythagoras Theorem


x^(2) =a^(2)+b^(2)

substitute the values


x^(2) =13+29.25


x^(2) =42.25


x=6.5\ units

User Sergey Sklyar
by
5.5k points