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NatalieZepeda
27.05.2021 •
Mathematics
HELICOTEST (TAREA): 2° - TRIGONOMETRÍA - CAPÍTULO 7 - RAZONES TRIGONOMÉTRICAS DE ÁNGULOS NOTABLES II (30°; 45° Y 60°) sacooo .V
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Ответ:
Answer : The radius of circle C is 7 cm.
Explanation:
As we shown in the figure below:
Let the radius of circle C is x
Let the radius of circle A is 2x
Let the radius of circle of B is 4x
So The length of side AC of ΔABC is x+2x = 3x
The length of side BC of ΔABC is 4x+x = 5x
The length of side AB of ΔABC is 4x+2x = 6x
Since we have given that the perimeter of triangle ΔABC is 98 cm.
and we know that the perimeter means the sum of boundary of sides of triangle .
so, Perimeter = 6x+5x+3x = 98 cm
⇒ 14x= 98
⇒ x=![\frac{98}{14}](/tpl/images/0070/2323/66f11.png)
⇒ x=7
So, the radius of circle C is 7 cm.