# geometry

FIND THE PERIMETER AND AREA OF A RIGHT IF THE SHORTEST SIDE IS 20MM. AND THE LONGEST SIDE IS 52MM. INCLUDE CORRECT UNITS WITH EACH PART OF YOUR SOLUTION.

1. 👍 0
2. 👎 0
3. 👁 137
1. Is this a right TRIANGLE?

1. 👍 0
2. 👎 0
👩‍🏫
Ms. Sue
2. YES

1. 👍 0
2. 👎 0
3. First, we need to determine the length of the third side by using the Pythagorean Theorem.

a^2 + b^2 = c^2

20^2 + b^2 = 52^2
400 + b^2 = 2704
b^2 = 2304
b = 48

The perimeter is the sum of the three sides.
20 + 48 + 52 = P

The area is found by using this formula:
A = 1/2 * b * h

A = (1/2) * 20 * 48

A = ________sq. mm.

1. 👍 0
2. 👎 0
👩‍🏫
Ms. Sue

## Similar Questions

1. ### pre algebra

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 30 feet more than the length of the shortest side. Find the dimensions if the perimeter is 138 feet

2. ### math

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

3. ### Algebra

The backyard of a house is in the shape of a triangle. The longest side is 4 ft shorter than twice the shortest side. The third side is 4 ft less than the longest side. If the perimeter of the yard is 162 ft, what are the lengths

4. ### geometry

the perimeter of a triangle is 59 inches. the longest side is 11 inches longer than the medium side, and the medium side is 3 inches more than the shortest side. Find the length of each side.

1. ### math

One side of triangle is 4cm longer than the shortest side and 2cm shorter than the longest side. The perimeter is 38cm. Find the dimension of the triangle

2. ### algebra

Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long. What expression could she write

3. ### Algebra

A triangle has a perimeter of 47 inches. The medium side is 5 more than the short side, and the longest side is 4 times the length of the shortest side. Find the shortest side.

4. ### Math

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 14 feet more than the length of the shortest side. Find the dimensions if the perimeter is 158 feet

1. ### college math

1). Sum of three numbers is 45. One number is five more than the second number.It is also twice the third.Find the numbers. 2).Perimeter of quadrilateral is 52in. Longest side is is three times as long as the shortest side. The

2. ### CSC

A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and plant flowers there. The longest side of the triangular section is 44 feet shorter than twice the

3. ### Algebra

the perimeter of a triangle is 56 inches. the longest side measures 4 inches less than the sum of the other two sides. three times the shortest side is 4 inches more than the longest side. find the lengths of the three sides

4. ### Math

The ratio of the side length is 2:3:4. The shortest side is 15 inches. What is the perimeter? Explain.