Question

The three angles of triangle are in
the ratio 2:3:5. Calculate the size of
the smallest angle.​

Answer 1

Answer:

Ratios are 2:3:5 given. So, 2*X+3*X+5*x=180° — sum of three angles of a triangle. So, X=18°. Hence angles are 36° , 54° and 90°.

Step-by-step explanation:

Answer 2

Answer:

Smallest angle is 36 degree.

Step-by-step explanation:

The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things. The sign used to denote a ratio is ‘:’.

An equation known as proportion shows that the two ratios presented are equal to one another. In other terms, the proportion declares that the two ratios or fractions are equal. In terms of proportion, two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio.

Given: The three angles of triangle are in the ratio 2:3:5.

Find:  Calculate the size of the smallest angle.​

Let the angles be $2x,3x$ and $5x$.

Smallest Angle= 180×Lowest Ratio/Sum of ratios

Sum of angles of triangle equal to 180 degree.

$2x+3x+5x=180\\\Rightarrow 10x=180\\\Rightarrow x=\frac{180}{10} \\\Rightarrow x=18$

First angle$=2x=2\times18=36^{o}$

Second angle$=3x=3\times18=54^o$

Third angle$=5x=5\times18^o=90^o$

Smallest angle is 36 degree,

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