Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a...
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Transcript of Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a...
![Page 1: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/1.jpg)
![Page 2: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/2.jpg)
![Page 3: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/3.jpg)
![Page 4: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/4.jpg)
2 and 2
cc a a
![Page 5: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/5.jpg)
7a
![Page 6: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/6.jpg)
Example
Solution
The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation to three decimal places.
45o
a
a45o
88
2a
4 2a
Exact answer:
Approximation:
4 2 fta
5.657 ft.a
2
2
8 2
4a
![Page 7: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/7.jpg)
a a a
2a2a
![Page 8: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/8.jpg)
Example
Solution
The shorter leg of a 30o-60o-90o right triangle measures 12 in. Find the lengths of the other sides. Give exact answers and, where appropriate, an approximation to three decimal places.
2a3a
12
60o
30o
The hypotenuse is twice as long as the shorter leg, so we have
c = 2a
c = 2(12)
c = 24 in.
3b a
The length of the longer leg is the length of the shorter leg times This gives us
3.
3 i12 n.b
Exact answer:
Approximation:
24 in., 12 3 in.c b
20.785 in.b
![Page 9: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/9.jpg)
1414 2 19.799
7
3
7 3
3
4.041
14 3
38.082
![Page 10: Example Solution The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation.](https://reader038.fdocuments.in/reader038/viewer/2022110213/5697bf741a28abf838c7fd07/html5/thumbnails/10.jpg)