7.5A & 7.5C Math TEKS

Front

What is the formula to find the missing side of a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

If the scale on a map is 1cm = 8km, how do you find the actual distance between two points measured in centimeters on the map?

Back

Multiply the distance in centimeters by 8 to get the actual distance in kilometers.

Front

What is the actual distance if two cities are 24cm apart on a map with a scale of 1cm = 8km?

Back

192 km (24cm x 8km/cm).

Front

How do you convert inches on a map to actual miles if the scale is 1 in:100 mi?

Back

Multiply the distance in inches by 100 to find the actual distance in miles.

Front

What is the actual distance between Louisville, Kentucky, and Nashville, Tennessee, if the distance on the map is 1 3/4 inches?

Back

175 miles (1.75 inches x 100 miles/inch).

Front

What is the missing side measurement if one side is 5 and the other is 12 in a right triangle?

Back

Use the Pythagorean theorem: 5² + 12² = c², so c = 13.

Front

What does it mean if a map has a scale of 1:100,000?

Back

1 unit on the map represents 100,000 units in reality.

Front

How do you find the distance between two points on a map if the scale is given?

Back

Measure the distance on the map and multiply by the scale factor.

Front

What is the missing side measurement if one side is 6 and the hypotenuse is 10?

Back

Use the Pythagorean theorem: 6² + b² = 10², so b = 8.

Front

If a map shows a distance of 3 inches and the scale is 1 in:50 mi, what is the actual distance?

Back

150 miles (3 inches x 50 miles/inch).