Question

1 in
2 in
What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answer 1

Answer:

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

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 = 2
• b=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.