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Harlamova29_29 [7]
3 years ago
12

PQR is a triangle. PR = 13 cm, PQ = 12 cm and angle QPR = 30° Calculate the length of QR.

Mathematics
1 answer:
Deffense [45]3 years ago
3 0

Answer:

6.55 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:

c² = a² + b² - 2ab*cos(C)

Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:

QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)

QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270

QR² = 43

QR = 6.55 cm

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See attachment for the missing table.

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I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, my
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Find the area of the shaded region.
lbvjy [14]

Answer:

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