The three angles of a triangle create the extended ratio 2:2:5. What is the measure of the largest angle?

Mathematics

1 answer:

Dima020 [189]3 years ago

7 0

Answer:

100°

Step-by-step explanation:

The ratio of angles of the triangle is 2:2:5. We know that the angle sum property of the triangle is 180°. So that , let the ratio be 2x : 2x : 5x .

=> 2x + 2x + 5x = 180°

=> 9x = 180°

=> x = 180°/9

=> x = 20°

Here the largest ratio is 5x . Therefore the largest Angle is ,

=> Largest Angle = 5x

=> Largest Angle = 5 × 20°

=> Largest Angle = 100°

<h3>• Hence the largest Angle is 100° </h3>

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ddd [48]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

$( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5}$