to find the area of a triangle, use the formula area= $\frac{1}{2}$ x base x height or $a=\frac{1}{2}\times b\times h$
example:
find the area of each triangle. some triangles have mixed units.
a.
b.
c.
area =
area =
area =
d.
e.
f.
area =
area =
area =
find the area of each triangle using the base and height measurements.
g.
b = 75.33 meters
h = 68 meters
h.
b = 47.2 centimeters
h = 595 millimeters
i.
b =.875 meters
h = 92 centimeters

Question

Accepted Answer

### Parte a:
# Explanation:
## Step1: Identificar base y altura
Base $ b = 20.2 \, \text{m} $, Altura $ h = 22.34 \, \text{m} $
## Step2: Aplicar fórmula del área del triángulo $ A = \frac{1}{2} \times b \times h $
$ A = \frac{1}{2} \times 20.2 \times 22.34 $
$ A = 10.1 \times 22.34 $
$ A = 225.634 \, \text{m}^2 $
# Answer:
$ 225.634 \, \text{m}^2 $

### Parte b:
# Explanation:
## Step1: Convertir unidades (450 mm a cm: $ 450 \, \text{mm} = 45 \, \text{cm} $)
Base $ b = 38.6 \, \text{cm} $, Altura $ h = 45 \, \text{cm} $
## Step2: Aplicar fórmula $ A = \frac{1}{2} \times b \times h $
$ A = \frac{1}{2} \times 38.6 \times 45 $
$ A = 19.3 \times 45 $
$ A = 868.5 \, \text{cm}^2 $
# Answer:
$ 868.5 \, \text{cm}^2 $

### Parte c:
# Explanation:
## Step1: Convertir unidades (75 mm a cm: $ 75 \, \text{mm} = 7.5 \, \text{cm} $)
Base $ b = 48.4 \, \text{cm} $, Altura $ h = 7.5 \, \text{cm} $
## Step2: Aplicar fórmula $ A = \frac{1}{2} \times b \times h $
$ A = \frac{1}{2} \times 48.4 \times 7.5 $
$ A = 24.2 \times 7.5 $
$ A = 181.5 \, \text{cm}^2 $
# Answer:
$ 181.5 \, \text{cm}^2 $

### Parte d:
# Explanation:
## Step1: Convertir $ 12\frac{1}{2} \, \text{mm} = 12.5 \, \text{mm} $
Base $ b = 12.5 \, \text{mm} $, Altura $ h = 15.4 \, \text{mm} $
## Step2: Aplicar fórmula $ A = \frac{1}{2} \times b \times h $
$ A = \frac{1}{2} \times 12.5 \times 15.4 $
$ A = 6.25 \times 15.4 $
$ A = 96.25 \, \text{mm}^2 $
# Answer:
$ 96.25 \, \text{mm}^2 $

### Parte e:
# Explanation:
## Step1: Convertir unidades (420 cm a m: $ 420 \, \text{cm} = 4.2 \, \text{m} $)
Base $ b = 4.2 \, \text{m} $, Altura $ h = 3.75 \, \text{m} $
## Step2: Aplicar fórmula $ A = \frac{1}{2} \times b \times h $
$ A = \frac{1}{2} \times 4.2 \times 3.75 $
$ A = 2.1 \times 3.75 $
$ A = 7.875 \, \text{m}^2 $
# Answer:
$ 7.875 \, \text{m}^2 $

### Parte f:
# Explanation:
## Step1: Convertir $ 1\frac{1}{5} \, \text{km} = 1.2 \, \text{km} $, $ 820 \, \text{m} = 0.82 \, \text{km} $
Base $ b = 1.2 \, \text{km} $, Altura $ h = 0.82 \, \text{km} $
## Step2: Aplicar fórmula $ A = \frac{1}{2} \times b \times h $
$ A = \frac{1}{2} \times 1.2 \times 0.82 $
$ A = 0.6 \times 0.82 $
$ A = 0.492 \, \text{km}^2 $
# Answer:
$ 0.492 \, \text{km}^2 $

### Parte g:
# Explanation:
## Step1: Identificar base y altura
Base $ b = 75.33 \, \text{m} $, Altura $ h = 68 \, \text{m} $
## Step2: Aplicar fórmula $ A = \frac{1}{2} \times b \times h $
$ A = \frac{1}{2} \times 75.33 \times 68 $
$ A = 37.665 \times 68 $
$ A = 2561.22 \, \text{m}^2 $
# Answer:
$ 2561.22 \, \text{m}^2 $

### Parte h:
# Explanation:
## Step1: Convertir unidades (595 mm a cm: $ 595 \, \text{mm} = 59.5 \, \text{cm} $)
Base $ b = 47.2 \, \text{cm} $, Altura $ h = 59.5 \, \text{cm} $
## Step2: Aplicar fórmula $ A = \frac{1}{2} \times b \times h $
$ A = \frac{1}{2} \times 47.2 \times 59.5 $
$ A = 23.6 \times 59.5 $
$ A = 1404.2 \, \text{cm}^2 $
# Answer:
$ 1404.2 \, \text{cm}^2 $

### Parte i:
# Explanation:
## Step1: Convertir unidades (0.875 m a cm: $ 0.875 \, \text{m} = 87.5 \, \text{cm} $)
Base $ b = 87.5 \, \text{cm} $, Altura $ h = 92 \, \text{cm} $
## Step2: Aplicar fórmula $ A = \frac{1}{2} \times b \times h $
$ A = \frac{1}{2} \times 87.5 \times 92 $
$ A = 43.75 \times 92 $
$ A = 4025 \, \text{cm}^2 $ (o $ 0.4025 \, \text{m}^2 $)
# Answer:
$ 4025 \, \text{cm}^2 $ (o $ 0.4025 \, \text{m}^2 $)

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QUESTION IMAGE

Question

Explanation:

Parte a:

Step1: Identificar base y altura

Step2: Aplicar fórmula del área del triángulo \( A = \frac{1}{2} \times b \times h \)

Step1: Convertir unidades (450 mm a cm: \( 450 \, \text{mm} = 45 \, \text{cm} \))

Step2: Aplicar fórmula \( A = \frac{1}{2} \times b \times h \)

Step1: Convertir unidades (75 mm a cm: \( 75 \, \text{mm} = 7.5 \, \text{cm} \))

Step2: Aplicar fórmula \( A = \frac{1}{2} \times b \times h \)

Answer:

Parte b: