In a right triangle, if one leg has a length of 1.7 and the hypotenuse has a length of 9.2, how long is the other leg? Round your answer to nearest hundredth.
Hint
a2 = c2 – b2
Answer
9.04
Example 4
In a right triangle, given a = 17.3 and c = 22.3, find b to the nearest tenth.
Hint
b2 = c2 – a2
Answer
14.1
Example 5
In a 45°-45°-90° triangle, if one leg is 12 feet long, how long is the other leg?
Hint
An isosceles triangle has two equal sides…
Answer
12 ft
Example 6
In a 45°-45°-90° triangle, given a = 12, how long is the hypotenuse, c? Leave your answer in radical form.
Hint
What do we multiply by to go from a leg to the hypotenuse?
Answer
c =
Example 7
In a 45°-45°-90° triangle, given , find a.
Hint
Divide by .
Answer
14
Example 8
Find x.
Hint
The short leg is half the hypotenuse. No matter how the drawing looks, the short leg is the one opposite the 30° angle.
Answer
15
Example 9
Find x.
Hint
The hypotenuse is twice the short leg.
Answer
34
Example 10
Find x.
Hint
We know the long leg, so divide by to get the short leg. And don't forget to rationalize the stuffing outta that denominator.
, find a.
.
to get the short leg. And don't forget to rationalize the stuffing outta that denominator.