Question

Tribhuj ke kodo me 3:5:10 ka anu
pat hai tribhuj ke teeno kodo ka maan gyat kijiye

Answer 1

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore, measures of angles will be 3x, 5x and 10x.

Since, we know that sum of three angles of a triangle is 180°.

Therefore,

3x + 5x + 10x = 180°

$3x + 5x + 10x = 180° \\ \implies \: 18x = 180 \degree \\ \implies \: x = \frac{180 \degree}{18} \\ \implies \: x =10\degree \\ \therefore \: 3x =3 \times 10\degree = 30\degree \\ \therefore \: 5x =5 \times 10\degree = 50\degree \\ \therefore \: 10x =10 \times 10\degree = 100\degree \\ Hence \: measures \: of \: all \: the \: three \: \\ angles \: of \: triangle \: are \: 30\degree, \: 50\degree \: \\ and \: 100\degree.$