14
January 13, 2020 Warm-up... 1. 2. Simplify. (answers are whole numbers) Label each side with the correct term. 3. Leg Hypotenuse 253 a 253 F t ra 4 3 hyp leg T leg
January 13, 2020
Warm-up...
1. 2.Simplify. (answers are whole numbers)
Label each side with the correct term.3.
Leg
Hypotenuse
253 a 253F t ra
4 3
hyp
leg T leg
January 13, 2020
Section 6.1 Pythagorean Theorem
I can apply the Pythagorean Theorem to determine unknown side lengths in right trianglesin real-world and mathematicalproblems.
water demo
January 13, 2020
hyp2 = leg2 + leg2
Pythagorean Theorem (used in a _______ triangle to a find missing side)
c2 = a2 + b2
*** c is always the ____________________
(and it is also the _______________ side)
right
hypotenuselongest
January 13, 2020
3
6 x
Identify the unknown side as a leg or hypotenuse. Then, find the unknown side length of the right triangle. Round your answer to the nearest tenth if needed.
Leg or Hypotenuse
x = _______
1.
0A 62 31 2
3IT
6.7
January 13, 2020
2. 3.
Identify the unknown side as a leg or hypotenuse. Then, find the unknown side length of the right triangle. Round your answer to the nearest tenth if needed.
Leg or Hyp
x = _______
Leg or Hyp
x = _______
e e321 2 529 5 25 62 42 5
16T 36 16 552 XZ
4 7,2
January 13, 2020
4. 5.
Leg or Hyp
x = _______
Leg or Hyp
x = _______
Identify the unknown side as a leg or hypotenuse. Then, find the unknown side length of the right triangle. Round your answer to the nearest tenth if needed.
102 4055F't r5 x7 t 18 x 5 100 5005 Z5 x2 F 400
20
January 13, 2020
The top of a ladder rests against a wall, 23 feet above the ground. The base of the ladder is 6 feet away from the wall. What is the length of the ladder?
6.Draw a picture, set up and solve. Round to the nearest tenth.
x
X 2362 25 X
r36 529 X
65 xFX 23,8 ft
January 13, 2020
7. A right triangle has a leg of 9cm and a hypotenuse of 17cm.
b. Find the perimeter of the triangle.
a. Find the area of the triangle.
(round to nearest tenth)
(round to nearest tenth) Aa ztbh
97 2 172 L 944.4
81 5 289 64.8cmg 5 208
X 14,4
add sides
F 91 171 14.4 40.4 an
January 13, 2020
Determine if 3 side lengths will make a right triangle...If a right triangle then c2 = a2 + b2 .
If NOT a right triangle then c2 ≠ a2 + b2.
How do we determine what side is a, b and c?c is the longest!!! Other 2 sides are a and b.
Tell whether the given side lengths of a ∆ can represent a right ∆...4, 5, 8 3, 7, 2√10
right ∆ or NOT a right ∆
pyth triples
8. 9.
right ∆ or NOT a right ∆
ar t b cZa't b ez
biggest
4752 8 p
161 25 164 376 729 t 40 49
O O
January 13, 2020
B
AI
January 13, 2020
Identify the missing side as a leg or hypotenuse(CIRCLE ONE).
LEG or HYPOTENUSE
x9
12
Exit Ticket:
Then find x (SHOW WORK). Round answers to the nearest tenth.
x = ______7 9X t 92 1221 81 144
2 63
January 13, 2020
Homework:6.1 Worksheet
optional:
extra practice on Khan Academy
January 13, 2020
Geo 6.1 - wksht answers1. hypotenuse 2. leg 3. leg
x = 10 x ≈ 8.7 x ≈ 8.9
4. hypotenuse 5. hypotenuse 6. leg
x ≈ 10.8 x =10 x = 5
7. 12 ft 8. ≈ 127.3 ft 9. 15 m 10. 270 ft2
11. right ∆ 12. NOT a right ∆
13. Not a right ∆ 14. right ∆
January 13, 2020
examples..
1
2
3
4
5**
6
(challenging)
