Question

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

Answer 1

Answer:

$x=6.5\ units$

Step-by-step explanation:

step 1

Find the length side of the smaller square

The area of the square is equal to

$A=a^{2}$

so

$a^{2}=13$

$a=\sqrt{13}\ units$

step 2

Find the length side of the larger square

The area of the square is equal to

$A=b^{2}$

so

$b^{2}=29.25$

$b=\sqrt{29.25}\ units$

step 3

Find the value of x

Applying the Pythagoras Theorem

$x^{2} =a^{2}+b^{2}$

substitute the values

$x^{2} =13+29.25$

$x^{2} =42.25$

$x=6.5\ units$