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Rashid [163]
3 years ago
13

Can someone tell me if my answer is correct (and correct it if it's not)?

Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer:

15.59.

Step-by-step explanation:

The altitude of equilateral triangle bisects the base

So 1/2 base = 3.

Altitude of the triangle is found from Pythagoras theorem:

= sqrt(6^2 - 3^2)

= sqrt27

Area = 1/2 base * altitude

=  3 * sqrt27

= 15.59

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What is the approximate measure of angle T in the triangle below 79° 84° 96° 101°
Anestetic [448]

The approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°

<h3>Law of Cosines</h3>

From the question, we are to determine the approximate measure of angle T

From the law of cosines, we can write that

cosT = (s² + u² - t²)/2su

From the diagram,

s = 3.9 cm

u = 2.7 cm

t = 4.3 cm

Thus,

cosT = (3.9² + 2.7² - 4.3²)/2(3.9)(2.7)

cosT = (15.21 + 7.29 - 18.49)/21.06

cosT = 4.01/21.06

cosT = 0.1904

T = cos⁻¹(0.1904)

T = 79.02°

T ≈ 79°

Hence, the approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°

Learn more on Law of Cosines here: brainly.com/question/28081595

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