WORKSHEET 2 (PYTHAGOREAN THEOREM) A. The lengths of the three sides of a triangle are given. Determine if the triangle with t given sides is a right triangle. Show your solutions. 1. 5, 12, 13 2. 17, 8, 15 3. 4, 6, 8 4. 2v3, V5, v7 5. 4, 12, 4/10 3. Find the missing length. Show your solutions. 1. if a=5 and c= 13, then b= 2. if a=7 and b= 24, then c=_ 3. if b= 2 and c=/5, then a=.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 51RE
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Q4-WORKSHEET 2 (PYTHAGOREAN THEOREM)
A. The lengths of the three sides of a triangle are given. Determine if the triangle with the
given sides is a right triangle. Show your solutions.
1. 5, 12, 13
2. 17, 8, 15
3. 4, 6, 8
4. 2V3, V5, v7
5. 4, 12, 4/10
B. Find the missing length. Show your solutions.
1. if a=5 and c= 13, then b=
2. if a=7 and b= 24, then c=
3. if b= 2 and c=/5, then a=_
C. Solve each of the ff. problems. Sketch the right triangle and show your solutions.
1. The hypotenuse of a right triangle is 39cm and one side is 15cm.What is the length
of the other side?
2. A kite is hanging at the top of a 24 ft tree. A man has a 26 ft ladder. Is the length of
the ladder enough to get the kite? How far away from the base of the tree should the
man place the ladder?
Transcribed Image Text:Q4-WORKSHEET 2 (PYTHAGOREAN THEOREM) A. The lengths of the three sides of a triangle are given. Determine if the triangle with the given sides is a right triangle. Show your solutions. 1. 5, 12, 13 2. 17, 8, 15 3. 4, 6, 8 4. 2V3, V5, v7 5. 4, 12, 4/10 B. Find the missing length. Show your solutions. 1. if a=5 and c= 13, then b= 2. if a=7 and b= 24, then c= 3. if b= 2 and c=/5, then a=_ C. Solve each of the ff. problems. Sketch the right triangle and show your solutions. 1. The hypotenuse of a right triangle is 39cm and one side is 15cm.What is the length of the other side? 2. A kite is hanging at the top of a 24 ft tree. A man has a 26 ft ladder. Is the length of the ladder enough to get the kite? How far away from the base of the tree should the man place the ladder?
a
b
y
B
D
1. If x = 2 and y = 8, find a, b and h
b =.
2. If c = 12 and x = 3, find a, b and h
a =
h =
b =
3. If x = 7 and y = 21, find a, b and h
b =
4. If x = 12 and y = 3, find a, b and h
b =
h =
a =
h =
h =
5. If a = 3 and b = 4, find c and h
h =
6. If a = 7 and b = 15, find c
C =
C =
Transcribed Image Text:a b y B D 1. If x = 2 and y = 8, find a, b and h b =. 2. If c = 12 and x = 3, find a, b and h a = h = b = 3. If x = 7 and y = 21, find a, b and h b = 4. If x = 12 and y = 3, find a, b and h b = h = a = h = h = 5. If a = 3 and b = 4, find c and h h = 6. If a = 7 and b = 15, find c C = C =
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