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1 vote
Find j.

'T
j
45°
22 km
45°
Write your answer in simplest radical form.
kilometers

Find j. 'T j 45° 22 km 45° Write your answer in simplest radical form. kilometers-example-1
User Musette
by
8.2k points

1 Answer

4 votes

Answer:


11\sqrt2 \text{ km}

Explanation:

We can solve for j by using our knowledge of 45-45-90 triangles.

• the legs are congruent

• the hypotenuse is
\sqrt2 times the length of the legs

We can use that second fact to solve for j. Since j is a leg, we can divide the hypotenuse (22 km) by
\sqrt2 to solve for it.


j = (22)/(\sqrt2)

Now, we can rationalize j by multiplying by
(\sqrt2)/(\sqrt2).


j = (22)/(\sqrt2) \cdot (\sqrt2)/(\sqrt2)


\boxed{j = 11\sqrt2 \text{ km}}

User Amrit Trivedi
by
8.7k points

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