Question

The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,

Answer 1

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

$Ratio = 3 : 10 : 7$

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

$S_1 = \frac{3}{3 + 10 + 7} *180$

$S_1 = \frac{3 *180}{20}$

$S_1 = \frac{540}{20}$

$S_1 = 27$

The side with ratio 10 is:

$S_2 = \frac{10}{3 + 10 + 7} *180$

$S_2 = \frac{10 *180}{20}$

$S_2 = \frac{1800}{20}$

$S_2 = 90$

Lastly:

The side with 7 as its ratio

$S_3 = \frac{7}{3 + 10 + 7} *180$

$S_3 = \frac{7 *180}{20}$

$S_3 = \frac{1260}{20}$

$S_3 = 63$

Hence, the angles are: 27, 90 and 63