Question

Analyze the diagram below and complete the instructions that follow.

Answer 1

Hello, I send the result.

Answer 2

The length of the side HG is $\boxed{20{\text{ units}}}.$

Further explanation:

The Pythagorean formula can be expressed as,

$\boxed{{H^2} = {P^2} + {B^2}}.$

Here, H represents the hypotenuse, P represents the perpendicular and B represents the base.

Given:

The length of the side GI is $29{\text{ units}}.$

The length of the side HI is $21{\text{ units}}.$

Explanation:

The hypotenuse of the triangle GHI is GI.

The perpendicular of the triangle GHI is HI.

The base of the triangle GHI is HG.

Use the Pythagoras formula in triangle GHI to obtain the length of side GH.

$\begin{aligned}G{I^2}&= H{I^2} + H{G^2}\\{29^2}&= {21^2} + H{G^2}\\{29^2} - {21^2} &= H{G^2}\\841 - 441 &= H{G^2}\\400&= H{G^2}\\\sqrt {400}&= HG\\20&= HG\\\end{aligned}$

Hence, the length of the side HG is $\boxed{20{\text{ units}}}.$

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Trigonometry

Keywords: perpendicular bisectors, sides, right angle triangle, triangle, altitudes, hypotenuse, on the triangle, hypotenuse, trigonometric functions, Pythagoras theorem, formula.