Question

perimeter & area
identify and calculate the area and perimeter for each triangle.
1)
$a = 48$ inches $b = 77$ inches
$h = 70.7$ inches
area:
perimeter:
type:
2)
$a = 60$ yds $b = 73$ yds
$h = 65.1$ yds
area:
perimeter:
type:
3)
$a = 49$ inches $b = 89$ inches
$h = 82.8$ inches
area:
perimeter:
type:
4)
$a = 50.62$ ft $b = 90.6$ ft
$c = 100$ ft $h = 46$ ft
area:
perimeter:
type:
5)
$a = 82$ cm $b = 49$ cm
$c = 95.52$ cm
area:
perimeter:
type:
6)
$a = 78$ yds $b = 48$ yds
$c = 91.59$ yds
area:
perimeter:
type:

Explanation:

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Triangle 1

Step1: Calculate area (base*height/2)

$\text{Area} = \frac{1}{2} \times 48 \times 70.2 = 1684.8$ square inches

Step2: Calculate perimeter (sum sides)

$\text{Perimeter} = 48 + 77 + 77 = 202$ inches

Step3: Identify triangle type

Two equal sides → Isosceles Triangle

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Triangle 2

Step1: Calculate area (base*height/2)

$\text{Area} = \frac{1}{2} \times 60 \times 65.1 = 1953$ square yards

Step2: Calculate perimeter (sum sides)

$\text{Perimeter} = 60 + 73 + 73 = 206$ yards

Step3: Identify triangle type

Two equal sides → Isosceles Triangle

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Triangle 3

Step1: Calculate area (base*height/2)

$\text{Area} = \frac{1}{2} \times 49 \times 62.8 = 1528.6$ square inches

Step2: Calculate perimeter (sum sides)

$\text{Perimeter} = 49 + 82 + 82 = 213$ inches

Step3: Identify triangle type

Two equal sides → Isosceles Triangle

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Triangle 4

Step1: Calculate area (base*height/2)

$\text{Area} = \frac{1}{2} \times 100 \times 46 = 2300$ square feet

Step2: Calculate perimeter (sum sides)

$\text{Perimeter} = 50.82 + 90.8 + 100 = 241.62$ feet

Step3: Identify triangle type

All sides unequal → Scalene Triangle

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Triangle 5

Step1: Calculate area (leg*leg/2)

$\text{Area} = \frac{1}{2} \times 82 \times 49 = 2009$ square cm

Step2: Calculate perimeter (sum sides)

$\text{Perimeter} = 82 + 49 + 95.52 = 226.52$ cm

Step3: Identify triangle type

Right angle (90° mark) → Right Triangle

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Triangle 6

Step1: Calculate area (leg*leg/2)

$\text{Area} = \frac{1}{2} \times 78 \times 48 = 1872$ square yards

Step2: Calculate perimeter (sum sides)

$\text{Perimeter} = 78 + 48 + 91.59 = 217.59$ yards

Step3: Identify triangle type

Right angle (90° mark) → Right Triangle

Answer:

1. Area: 1684.8 square inches; Perimeter: 202 inches; Type: Isosceles Triangle
2. Area: 1953 square yards; Perimeter: 206 yards; Type: Isosceles Triangle
3. Area: 1528.6 square inches; Perimeter: 213 inches; Type: Isosceles Triangle
4. Area: 2300 square feet; Perimeter: 241.62 feet; Type: Scalene Triangle
5. Area: 2009 square cm; Perimeter: 226.52 cm; Type: Right Triangle
6. Area: 1872 square yards; Perimeter: 217.59 yards; Type: Right Triangle