Use the given information to solve right triangle for all missing parts.
.
(Type an integer or a decimal.)
in. (Type an integer or a decimal. Round to the nearest tenth as needed.)
. (Type an integer or a decimal. Round to the nearest tenth as needed.)

Ask by Norton Pierce. in the United States

Jan 20,2025

Question

Use the given information to solve right triangle for all missing parts.
.
(Type an integer or a decimal.)
in. (Type an integer or a decimal. Round to the nearest tenth as needed.)
. (Type an integer or a decimal. Round to the nearest tenth as needed.)

Ask by Norton Pierce. in the United States

Jan 20,2025

UpStudy AI · Accepted Answer

To solve for the missing side $$ c $$ in right triangle $$ ABC $$, we'll use the Pythagorean theorem, which states:

$$
c = \sqrt{a^2 + b^2}
$$

Given:
- $$ a = 7.75 $$ inches
- $$ b \approx 12.6 $$ inches

**Step-by-Step Calculation:**

1. **Square the given sides:**
   $$
   a^2 = 7.75^2 = 60.0625
   $$
   $$
   b^2 = 12.6^2 = 158.76
   $$

2. **Add the squares of the sides:**
   $$
   a^2 + b^2 = 60.0625 + 158.76 = 218.8225
   $$

3. **Take the square root to find $$ c $$:**
   $$
   c = \sqrt{218.8225} \approx 14.8 \text{ inches}
   $$

**Final Answer:**
$$
\mathrm{c} \approx 14.8 \text{ in}
$$
$$ c \approx 14.8 $$ inches