Wednesday

April 23, 2014

April 23, 2014

Posted by **Jen** on Tuesday, July 5, 2011 at 3:05pm.

- College Math -
**PsyDAG**, Tuesday, July 5, 2011 at 3:50pmSee later post.

- College Math -
**STEVE**, Monday, July 18, 2011 at 9:47pmThe shortest side, we are told, is 20mm. This is one of the 'legs' of the right triangle, adjacent to the right angle.

We are told that the longest side is 52mm. This by definition is the hypotenuse (the side OPPOSITE the right angle). Hence the side we are trying to find the length of is the other 'leg' which has intermediate value.

Using Pythagoras' Theorem, and allowing the unknown 'base/ leg' be x:

(20)^2 + (x)^2 = (52)^2

or (4000 + (x^2) = (2704)

implying x = 48mm after simplification, etc..

The Perimeter, therefore, is (20+48+52)mm = 120mm.

The area , therefore, is = 1/2 * base * perp. height

Area = 1/2 * 48 * 20 = 480 mm^2.

**Related Questions**

college math - Find the perimeter and area of a right triangle if the shortest ...

college math - Find the perimeter and area of a right triangle if the shortest ...

Math - Find the perimeter and area of a right triangle if the shortest side is ...

math - find the perimeter and area of a right triangle if the shortest side is ...

Math - Find the perimeter and area of a right triangle if the shortest side is ...

Damon or Sue please help!! - Find the perimeter and area of a right triangle if ...

math college - Find the perimeter and area of a right triangle if the shortest ...

Algebra 1 - The perimeter of a triangle is 20 inches. The longest side is 4 ...

Geometry - find the perimeter and area of a right triangle if the shortest side ...

Algebra - The perimeter of a triangle is 52 centimeters. The longest is 2 ...