Question

find the angles of a triangle if the measures are in the ratio 3 is to 4 is to 5

Answer 1

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Answer 2

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Explanation:

=>The sum of the interior angles of a triangle will be 180 ° .

=>123 x = 180.Now, divide to isolate for x :(18012) = 15 , so x = 15.3 x , 4 x , and 5 x. 

$\huge{ \star{ \purple{Solution:-}}}$

The sum of the interior angles of a triangle will be 180°.

Therefore, think of the ratios of 3:4:5 as variables followed by "x" (3x, 4x, and 5x).

Combine like terms and set the equation equal to 180, the amt. of degrees in a triangle:

123x = 180

Now, divide to isolate for x:

(18012) = 15 , so x = 15

Now, substitute x for 15 in your variables:

3x, 4x, and 5x
3(15), 4(15), and 5(15)
45, 60, and 75 = 180

Therefore, 45 is the smallest angle.

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