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m2 long test 1 pythagoras theorem

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SIRINDHORN SCHOOL
ENGLISH PROGRAM
Long Test 1 Before Midterm
Nickname: ________________No.______M2/____ Date:____________
Part I Multiple Choice
Read each question carefully and write the letter of your answer on the space provided before each number.
_____1. Which of the following statement/s is/are true?
i. A Pythagoras Theorem can be applied in all types of
_____5. What is the length of the third side?
right triangle
ii. The hypotenuse in a right triangle is the side adjacent
of the right angle.
iii. A right angle measures exactly 900.
a. 15
b. 33
iv. The longest side of a right triangle is the hypotenuse.
c. 3√55
d. 3√73
a. i only
b. i and iv
_____6.What is the length of the other leg?
c. i,iii and iv
d. i,ii,iii and iv
_____2. What is the measure of the hypotenuse in a
triangle below?
a. 17
b. 8
c. 15
d. 𝛼
_____3. Given the figure below, which of the following
statement is correct?
a. 𝑥 2 =
c. 𝑥 2 =
92 + 142
142 + 92
b. 𝑥 2 =
d. 𝑥 2 =
92 − 142
142 − 92
_____4. A right triangle has one leg that measures 7 inches,
and the second leg measures 10 inches. How long is the
hypotenuse?
a. 51 inches
b .7.14 inches
c. 149 inches
d. 12.21 inches
a. 11
c. √241
b. √209
d. 19
_____7. Find the height of the isosceles triangle.
a. 6√2 cm
b. 5 cm
c. 3cm
d. 3√33 cm
_____8. What is the perimeter of the parallelogram below.
(Hint: Get the total sum of all the outer side lengths.)
a. 39cm
b. 26cm
c. 78cm
d. 85cm
Part 2: Solving Skills (5 items each)
A. Word Problem
1. A flagpole is 12ft. tall. If John is standing x feet from the
flagpole and the distance between him and the top of the
flagpole is 15 ft, how far away is John from the base of
the flagpole?
B. Tell whether the given side lengths are measurements of a
right triangle, obtuse triangle or an acute triangle.
4. 8, 15 and 17
5. 20 , 99 and 102
2. A 25 ft tree was struck by a lightning so it was divided into
2 parts and fell on the ground as shown below. The
distance from the top of the tree and its base was 5 ft
horizontally as shown in the diagram below. How long are
the two parts?
6. 10, 21, and 29
7. 3, 24, and 25
3. Belle runs diagonally across a rectangular field that has a
length of 8 meters and a width of 3 meters. How far did
Belle run?
8. 4, 12 and 13
Bonus points: Fill in the missing blank below to complete
the Pythagorean Theorem
In a __________ triangle, the _____ of the __________ is equal to the _____ of the
_________ of its _________ ____________.
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