Question

What is the length of the missing leg? If necessary, round to the nearest tenth.

Answer 1

Answer:

7.4

Step-by-step explanation:

Pythagorean theorem is $a^{2} +b^{2} =c^{2}$ with c being the hypotenuse and a and b being the legs.

So we are solving for a leg so let's rearrange the equation to solve for a or b, it doesn't matter, I'm going to solve for a.

so subtract $b^{2}$ from both sides then take the square root of both sides leaving us with $a=\sqrt{c^{2} -b^{2} }$

Then plug in know variables so $a=\sqrt{8^{2} -3^{2} } =\sqrt{64-9} =\sqrt{55} =7.41619848$

Then round to get 7.4

Answer 2

Answer:

• a = 7.4

Step-by-step explanation:

We can find 'a' through Pythagoras theorem.

• => 8² = 3² + a²
• => 64 = 9 + a²
• => a² = 55
• => a = √55
• => a = 7.416 = 7.4

Hoped this helped.

$BrainiacUser1357$