Posted by Jen on Tuesday, July 5, 2011 at 3:05pm.
Find the perimeter and area of a right triangle if the shortest side is 20 mm. and the longest side is 52 mm.

College Math  PsyDAG, Tuesday, July 5, 2011 at 3:50pm
See later post.

College Math  STEVE, Monday, July 18, 2011 at 9:47pm
The 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.
Answer This Question
Related Questions
 college math  Find the perimeter and area of a right triangle if the shortest ...
 math college  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 ...
 Algebra  Math  The medium side of a triangle is 9 more than 1/2 the shortest ...
 Geometry  find the perimeter and area of a right triangle if the shortest side ...
 Damon or Sue please help!!  Find the perimeter and area of a right triangle if ...
 geometry  find the perimeter and area of a right triangle if the shortest side ...
More Related Questions