Only 17 please S2= 256+d= 32d=16.vess diagend 1 Jragonal a17. Find the height of a triangle with an area of 108 mm2 if its base is 6 mm longer thanits height.18. Find the apothem of a regular polygon whose area is 100 m² if its apothem measuresone-eighth of its perimeter.re to show that the length of the

Answered: the height of a triangle

Elementary Geometry For College Students, 7e

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ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Only 17 please

S2= 256
+d= 32
d=16.
vess diagend 1 Jragonal a
17. Find the height of a triangle with an area of 108 mm2 if its base is 6 mm longer than
its height.
18. Find the apothem of a regular polygon whose area is 100 m² if its apothem measures
one-eighth of its perimeter.
re to show that the length of the

Expert Solution

Step 1

Let 'b' and 'h' be the length of base and height of the triangle.

The area of the triangle is given as $108 {mm}^{2}$ ,

$\Rightarrow A = \frac{1}{2} \cdot b \cdot h \Rightarrow 108 = \frac{b h}{2} \Rightarrow b h = 216 \dots \dots \dots (1)$

It is given that the base is 6mm longer than the height,

$\Rightarrow b = h + 6$

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