Question

Solve for x. Round your answer to the nearest tenth if necessary. NO SCAMS OR LINKS PLEASE!!!!!! ANSWER IS NOT 14.1 ​

Answer 1

`\boxed {\boxed {\sf x\approx 7.3}}`

Explanation:

The triangle has a small square in the corner representing a 90 degree angle. This is a right triangle so we can use the Pythagorean Theorem to solve for the sides.

`a^2+b^2=c^2`

In this equation, a and b are the legs and c is the hypotenuse.

x and 8.5 are the legs because they make up the right angle. 11.2 is the hypotenuse because it is opposite the right angle.

• a= x
• b=8.5
• c=11.2

Substitute the values into the formula.

`x^2+(8.5)^2=(11.2)^2`

Solve the exponents.

• (8.5)²= 8.5*8.5= 72.25

• (11.2)²= 11.2*11.2= 125.44

`x^2+72.25 =125.44`

Solve for x by isolating the variable. 72.25 is being added, so we subtract 72.25 from both sides because subtraction is the inverse operation of addition.

`x^2+72.25-72.25 = 125.44-72.25`

`x^2=125.44-72.25`

`x^2=53.19`

x is being squared, so we take the square root of both sides.

`√(x^2)=\sqrt {53.19}`

`x=\sqrt{53.19`

`x=7.29314746869`

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 2 up to a 3.

`x \approx 7.3`

The unknown side, x, is approximately 7.3