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Home > GC > Chapter 5 > Lesson 5.2.1 > Problem 5-46

5-46.

For each triangle below, use your triangle shortcuts from this lesson to find the missing side lengths. Then find the area and perimeter of the triangle.

  1. A right triangle with a base of square root 2 meters. 45 degrees angle is opposite that side.

  1. A right triangle with a hypotenuse of 10 feet. 60 degrees angle is in between the height and hypotenuse.

What special triangles can you use for each part?
Find the lengths of the missing sides using the special triangle relationship you chose.

Perimeter Calculation

A right triangle with a height of square root of 2, base of square root of 2 meters, and hypotenuse of square root of square root of 2 squared + square root of 2 squared. 45 degrees angle is in between the height and hypotenuse.

 m

Area Calculation

sq. m