   Chapter 5.6, Problem 40E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# In Δ R S T , the altitudes of the triangle intersect at a point in the interior of the triangle. The lengths of the sides of Δ R S T are R S = 14 , S T = 15 , and T R = 13. a) If T X = 12 , find R X and X S . (HINT: Use the Pythagorean Theorem.)b) If R Y = 168 15 , find T Y and Y S . c) If S Z = 168 13 , find Z R and T Z . d) Use results from parts (a), (b), and (c) to show that R X X S ⋅ S Y Y T ⋅ T Z Z R = 1. To determine

a)

To find:

RX and XS.

Explanation

Given:

In ΔRST, the altitudes of the triangle intersect at a point in the interior of the triangle. The lengths of the sides of ΔRST are RS=14,ST=15,TR=13 and TX=12.

Calculation:

From the figure, RTX is a right triangle.

By Pythagoras theorem, we get (RT)2=(RX)2+(TX)2.

(RT)2=(RX)2+(TX)2RX<

To determine

b)

To find:

TY and YS.

To determine

c)

To find:

ZR and TZ.

To determine

d)

To prove:

RXXSSYYTTZZR=1.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Let x be the function defined by s(t)=2tt21. Find s(4), s(0), s(a). s(2 + a), and s(t + 1).

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Evaluate the integrals in Problems 1-26. 12.

Mathematical Applications for the Management, Life, and Social Sciences

#### 45 15 63 127

Study Guide for Stewart's Multivariable Calculus, 8th

#### = _____. 0 does not exist

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 