Distance Between 2 Points
On a coordinate grid, what is the distance between the points A(0,0) and B(3,4)?
The distance is 5 units.
Fill in the blanks below.
If three squares form a right triangle, then the largest square's area is ________ to the ________ of the other two smaller square's.
equal, sum
Explain how you can determine if a triangle is a right triangle or not.
By using a squared plus b squared equals to c squared. If a squared plus b squared does not equal c squared then it is not a right triangle.
Find c, if a = 5 and b= 10?
Round to the nearest tenth.
11.2 units.
John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? *Write your answer in the context of the problem
10 blocks
Find the distance between C(-3,1) and D(4,8). Round your answer to the nearest tenth if needed.
9.9 units
Three squares form a right triangle. If the two smaller squares' areas are 140 square inches and 200 square inches. What is the value of the largest square's area?
340 square inches.
The side lengths of a triangle are below. Is it a right triangle?
20cm, 21cm, and 29 cm.
Show your work.
Yes, it is a right triangle.
Use the picture to solve for the missing side length.
17 units
A 10 foot ladder is leaning against a tree. It is 5 feet away from the base of the tree. What is the height of the ladder? Round to the nearest hundreth.
The tree is 8.66 feet.
Two points are E(1,-3) and F(-3,1). Find the distance EF. Round to the nearest hundredths if needed.
5.66 units
Use the model to find the value of x.
251 ft squared
The side lengths of a triangle are below. Is it a right triangle?
39cm, 20cm, and 44cm
Show your work.
No it is not a right triangle.
One of the legs of a right triangle is 22cm. The hypotenuse is 30cm. What is the length of the missing leg? Round to the nearest hundredth.
20.40cm.
Joshua won a laptop in a school raffle. The laptop screen measures 10 inches in height and 24 inches in width. Find the diagonal length of the laptop screen.
What is 26 inches
Find the distance between the two points using the picture shown. Round to the nearest thousandth.
5.385 units
Find the value of x using the model shown. Round to the nearest tenth.
9.4 units
The side lengths of a triangle are below. Is it a right triangle?
13cm, 20.6cm, and 16cm
Show your work.
No, it is not a right triangle.
Use the picture to solve for the missing side length.
A tree breaks and falls as shown. What was the original height of the tree?
18 feet
The coordinates of the vertices of a rectangle are A(-4,2), B (2,2), C (-4, -2), D (2,-2). Which measurement is closest to the distance between points B and C? Round to the nearest tenth.
7.2 units.
In the model shown, what is the x and y value?
y=8 and x=6
The side lengths of a triangle are below. Is it a right triangle?
sqrt 6, sqrt 13, and sqrt 7.
Show your work.
Yes it is
If the hypotenuse is twice of "a" and "a" is 7, what is b?
Round to the nearest tenth.
12.1 units.
Amanda is leaving her house to drive to a restaurant that is 10 miles away as shown below. How much further will Amanda drive to the restaurant if she has to first drive south to get gas at the gas station and then east to the restaurant?
4 miles further.