Find the perimeter RST. Round answer to the nearest tenth Show all the work
1 answer:
Answer:
35.1 units
Step-by-step explanation:
Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:
RS²=3²+6²
RS=≈6.7 units
Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:
RT²=9²+12²
RT= = 15 units
Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:
TS²=12²+6²
TS=≈13.4 units
Perimeter=RS+RT+TS
=6.7+15+13.4
=35.1 units
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Answer:
General Formulas and Concepts:
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Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
- Coordinates (x, y)
<u>Geometry</u>
- Definition of a radius - the center of a circle to <em>any</em> point to the circumference
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Center (2, -3) → x₁ = 2, y₁ = -3
Circumference point (-1, -2) → x₂ = -1, y₂ = -2
<em>In this case, the distance d from the center to the circumference point would be the radius r of the circle.</em>
<u>Step 2: Find Radius </u><em><u>r</u></em>
- [Distance Formula] Define equation [Radius]:
- Substitute in points [Radius]:
- [Radius] [√Radical] (Parenthesis) Simplify:
- [Radius] [√Radical] (Parenthesis) Subtract/Add:
- [Radius] [√Radical] Evaluate exponents:
- [Radius] [√Radical] Add: