Mathematics: What is the solution to the equation ? Assume the range is all real numbers. x = –6 x = 5 x = 6, x = –5 x = –6, x = 5

What is the solution to the equation ? Assume the

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01.04.2023

$\boxed {\boxed {\sf c \approx 2.2 \ inches}}$

Step-by-step explanation:

This triangle has a small square in the corner, representing a right angle. This means we can use the Pythagorean Theorem.

a^2+b^2=c^2

Where a and b are the legs and c is the hypotenuse.

In this triangle, the legs are 2 and 1, because they form the right angle. The hypotenuse, which is opposite the right angle, is unknown.

a = 2b=1

Substitute the known values into the formula.

(2)^2+(1)^2=c^2

Solve the exponents.

(2)²= 2*2=4

4+(1)^2=c^2

(1)²=1*1=1

4+1=c^2

Add.

5=c^2

Since we are solving for c, we must isolate the variable. Since it is being squared, we take the square root of both sides.

$\sqrt {5}= \sqrt{c^2} \\$

2.2360679775=c

We have to round to the nearest tenth. The 3 in the hundredth place tells us to leave the 2 in the tenths place.

$2.2 \approx c$

The hypotenuse is approximately 2.2 inches.

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