Download Pythagorean Theorem Test Review

Pythagorean Theorem
Test Review
We use the Pythagorean Theorem to
find the missing side of a
_________________________.
The longest side of a right triangle is
called the
_______________________________,
and the other two sides are called
_________.
Determine if the given measurements
would create a right triangle?
15, 20, 25
Yes or No
Cathy is making a banner for the choir
club. She is drawing a right triangle on
fabric. The two sides that form the
right angle measure 5 feet and 12
feet. What is the length of the longest
side?
Find the length of 𝑁 to the nearest
inch.
𝑵
𝟏𝟑 𝒊𝒏.
𝟏𝟏 𝒊𝒏.
𝑷
𝟐𝟎 𝒊𝒏.
A 15-foot ladder’s base is 9 feet from the
wall of a building. How many feet above
the ground does the top of the ladder
touch the building?
A) 11 ft.
B) 12 ft.
C) 18 ft.
D) 24 ft.
Kelly bicycled 4 kilometers due east from
her house to Rachel’s house. Then Kelly
bicycled 3 kilometers due south from
Rachel’s house to Marty’s house. What is
the shortest distance from Marty’s house
back to Kelly’s house? Hint: Draw a
picture.
Mr. Naylor just bought a TV set. The screen
of the TV is 48 in. long and 27 in. high. Find
the length of the diagonal. Round to the
nearest inch.
An 18-foot ladder is leaned against a wall.
If the base of the ladder is 7 feet from the
wall, how high up on the wall does the
ladder reach? Round to the nearest tenth
of an foot.
The lawn in front of Whitney Middle School
is in the shape of a rectangle 30 yd long
and 16 yd wide. How much shorter is your
walk if you walk diagonally across the lawn
rather than along the two sides of it?
A tree is struck by lightning and breaks at a
point 12 feet above the ground. The top of
the tree lands on the ground 39 feet from
the base. What is the height of the tree to
the nearest tenth of a foot? HINT: Draw a
picture
Dylan has a square piece of metal that
measures 10 inches on each side. He cuts
the metal along the diagonal, forming two
right triangles. What is the length of the
hypotenuse to the nearest tenth of an
inch?
A blueprint for a new triangular playground
shows that the sides measure 480 feet,
140 feet, and 500 feet. Is the playground in
the shape of a right triangle?
The marketing team at a new electronics
company is designing a logo that contains a
circle and a triangle. On one design, the
triangle’s side lengths are 2.5 in., 6.5 in.,
and 6 in. Is the triangle a right triangle?