LitClown
LitClown LitClown
  • 26-05-2021
  • Mathematics
contestada

Find the area.

A. 178.5 in2
B. 85 in2
C. 84 in2
D. 105 in2

***SHOW WORK***

Find the area A 1785 in2 B 85 in2 C 84 in2 D 105 in2 SHOW WORK class=

Respuesta :

heikepowe1976 heikepowe1976
  • 26-05-2021

Answer:

C) 84 in^2

Step-by-step explanation:

Find the area of each triangle, than add them together.

First, you'll need to find the height, illustrated by the dotted line. Since it is a right triangle use

[tex]a^{2} +b^{2} =c^{2} \\15^{2} +b^{2} =17^{2}\\b^{2}=17^{2}-15^{2}\\b=8[/tex]

Use this height for your area of each triangle

[tex]A=h\frac{b}{2} \\A=8\frac{15}{2} \\A=60\\\\\\A=8\frac{6}{2} \\A=24[/tex]

Now add both together 60+24

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