Pythagorean Theorem Question Preview (ID: 23356)


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Triangle EFG has vertices at E(–3, 2), F(–3, –12), and G(10, 2). What is the approximate length of segment FG?
a) 5.2
b) 7.1
c) 12.2
d) 19.1

Triangle ABC has coordinates A(–6, 0), B(–2, 0), and C(–2, –7). What is the approximate perimeter of triangle ABC?
a) 8.1
b) 14.3
c) 19.1
d) 76

What is the length of the hypotenuse in the right triangle with sides 9 and 12?
a) 8
b) 15
c) 20
d) 21

What is the length of the missing side when a triangle has an hypotenuse of 26 and a leg of 24?
a) 10
b) 15
c) 25
d) 17

Triangle PQR has vertices at P(–2, 1), Q(–2, –4), and R(4, –4). What is the approximate length of line segment PR?
a) 8
b) 7
c) 6
d) 5

What is the approximate distance between the points (–2, 3) and (2, –1)?
a) 3.2
b) 4.7
c) 5.7
d) 6.2

The vertices of a triangle are located at L(4, –3), M(1, –3), and N(1, 0). What is the approximate perimeter of triangle LMN?
a) 6.2
b) 10.2
c) 20.4
d) 38.5

The side lengths of a square are 16 cm each. What is the approximate length of the diagonal of the square?
a) 17
b) 23
c) 24
d) 32

A rectangular television screen has a diagonal measurement of 52 inches and a width of 32 inches. What is the approximate length of the television screen?
a) 22
b) 41
c) 42
d) 61

Triangle EFG has vertices at E(–3, 0), F(3, 0), and G(3, 8). What is the length of line segment EG?
a) 8
b) 10
c) 14
d) 16

A rope 10 feet long is tied to the top of an 8-foot pole. If the rope is pulled tightly, how far from the bottom of the pole should the rope be staked to the ground?
a) 2
b) 6
c) 9
d) 13

What is the distance between (0,3) and (3,-1)
a) 3
b) 4
c) 5
d) 7

Triangle JKL has vertices J(0, 7), K(0, 1), and L(4, 7). What is the approximate perimeter of the triangle?
a) 7.2
b) 12.4
c) 17.2
d) 18.4

The shortest side of a right triangle is 7.2 centimeters long and the longest side is 15.5 centimeters long. What is the length, to the nearest tenth of a centimeter, of the third side?
a) 8.3
b) 11.4
c) 13.7
d) 17.1

Which set of measurements could be the side lengths of a right triangle?
a) 3 in., 5 in., 7 in.
b) 6 in., 9 in., 12 in.
c) 8 in., 15 in., 17 in.
d) 10 in., 20 in., 30 in.

A right triangle has an area of 60 cm2. The base of the triangle is 15 cm long. What is the length of the hypotenuse of the right triangle?
a) 16
b) 17
c) 18
d) 19

Which set of measurements could be the side lengths of a right triangle?
a) 2 ft, 3 ft, 5 ft
b) 3 ft, 6 ft, 9 ft
c) 5 ft, 12 ft, 13 ft
d) 6 ft, 9 ft, 12 ft

What is the measure of the missing side of a triangle with an hypotenuse of 20 and a leg of 16?
a) 12
b) 18
c) 26
d) 10

A boat starts in Riverton and sails 5 miles North. Then, the boat sails East another 3 miles, forming a right angle. What is the approximate shortest distance back to Riverton?
a) 2 miles
b) 4 miles
c) 6 miles
d) 8 miles

The length of a football field is 360 feet and the width is 160 feet. What is the approximate length of the diagonal of the football field?
a) 260
b) 322
c) 394
d) 416

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