   Chapter 8.1, Problem 54E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

T V ¯ bisects ∠ S T R of △ S T R . S T = 6 and T R = 9. If the area of △ S T R is 25  m 2 , find the area of △ S V T . To determine

To find:

The area of ΔSVT.

Explanation

“A median of a triangle separate it into two triangle of equal area.”

Calculation:

Given:

TV¯ bisects STR of ΔSTR.

ST=6 m

RT=9 m

ASTR=25 m2

TV¯ is bisect, the angle of ΔSTR.

(i.e.) TV¯ is the median of the line SR.

Since, A median of a triangle separate it into two triangle of equal area.

Let A1 and A2 are the areas of the triangle ΔSVT and ΔRVT.

Here, TV¯ bisects the ΔSTR into the two equal areas of triangles ΔSVT and ΔRVT

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