Question

cool down: two more triangles for each triangle, identify a base and a corresponding height. use them to find the area. show your reasoning. (triangle a: base 3 in, height 6 in (dotted) or height 2.5 in to 7.2 in side; triangle b: base 6 cm, height 4 cm (dotted) or height 4.8 cm to 5 cm side)

Explanation:

for Triangle A:

Step1: Identify base and height

Base \( b = 3 \) in, height \( h = 6 \) in (or base \( 7.2 \) in, height \( 2.5 \) in, both work as area formula is \( \frac{1}{2}bh \)).

Step2: Apply area formula

Area \( A = \frac{1}{2} \times b \times h = \frac{1}{2} \times 3 \times 6 \)

Step3: Calculate

\( \frac{1}{2} \times 18 = 9 \) square inches.

for Triangle B:

Step1: Identify base and height

Base \( b = 6 \) cm, height \( h = 4 \) cm (or base \( 5 \) cm, height \( 4.8 \) cm).

Step2: Apply area formula

Area \( A = \frac{1}{2} \times b \times h = \frac{1}{2} \times 6 \times 4 \)

Step3: Calculate

\( \frac{1}{2} \times 24 = 12 \) square centimeters.

Answer:

• Area of Triangle A: \( 9 \) square inches
• Area of Triangle B: \( 12 \) square centimeters