Answer:
84°
Step-by-step explanation:
smallest angle=x
3x=2nd angle
x+40=3rd angle
angles in a triangle add up to 180 degrees so
5x+40=180
5x=140
x=28
largest angle = 3x
so 3 x 28 = 84 degrees
The largest angle is 84 degrees
Answer:
Step-by-step explanation:
because i don't know if the 2 is with the 4 or not I have calculated both.
x/4 + 2 = 15
<=> x/4 = 13
<=> x = 13.4 = 52
x/(4+2) = 15
<=> x/6 = 15
<=> x = 6.15 = 90
Answer:
Tan C = 3/4
Step-by-step explanation:
Given-
∠ A = 90°, sin C = 3 / 5
<u>METHOD - I</u>
<u><em>Sin² C + Cos² C = 1</em></u>
Cos² C = 1 - Sin² C
Cos² C = 
Cos² C = 
Cos² C = 
Cos C = 
Cos C = 
As we know that
Tan C = 
<em>Tan C =
</em>
<em>Tan C =
</em>
<u>METHOD - II</u>
Given Sin C = 
therefore,
AB ( Height ) = 3; BC ( Hypotenuse) = 5
<em>∵ ΔABC is Right triangle.</em>
<em>∴ By Pythagorean Theorem-</em>
<em>AB² + AC² = BC²</em>
<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>
<em>AC² = 5² - 3²</em>
<em>AC² = 25 - 9</em>
<em>AC² = 16</em>
<em>AC ( Base) = 4</em>
<em>Since, </em>
<em>Tan C =
</em>
<em>Tan C =
</em>
<em>Hence Tan C =
</em>
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