Question

finding the area of a triangle estimate. circle all the problems that will have are 15 square inches. then find the exact areas of onl 7 5 in. 12 in. go square units 9 14 in. 5 in. 11 7 in. 8 in. 20 in.

Explanation:

Problem 7:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). For this right triangle, the base is 12 in and the height is 5 in.

Step2: Substitute values into formula

Substitute base \( b = 12 \) and height \( h = 5 \) into the formula: \( A = \frac{1}{2} \times 12 \times 5 \).

Step3: Calculate the area

First, multiply 12 and 5: \( 12 \times 5 = 60 \). Then, take half of that: \( \frac{1}{2} \times 60 = 30 \).

Step1: Recall triangle area formula

The area of a triangle is \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Here, the base is 14 in and the height is 5 in (the perpendicular height to the base).

Step2: Substitute values into formula

Substitute \( b = 14 \) and \( h = 5 \) into the formula: \( A = \frac{1}{2} \times 14 \times 5 \).

Step3: Calculate the area

First, multiply 14 and 5: \( 14 \times 5 = 70 \). Then, take half of that: \( \frac{1}{2} \times 70 = 35 \).

Step1: Recall triangle area formula

The area of a triangle is \( A = \frac{1}{2} \times \text{base} \times \text{height} \). The base here is 20 in and the height is 7 in (the perpendicular height to the base).

Step2: Substitute values into formula

Substitute \( b = 20 \) and \( h = 7 \) into the formula: \( A = \frac{1}{2} \times 20 \times 7 \).

Step3: Calculate the area

First, multiply 20 and 7: \( 20 \times 7 = 140 \). Then, take half of that: \( \frac{1}{2} \times 140 = 70 \).

Answer:

30 square inches

Problem 9: