Math, asked by vedu7385, 5 months ago

if sides of tringle are 9cm , 12cm and 15 cm the decide given right angle triangle or not​

Answers

Answered by therzart1104
2

Please mark it as the brainliest

Answer:

yes

its a right scalene triangle

Step by Step

The following is one way to perform the calculation. It may not be the best way.

Calculates ∠A, ∠B, ∠C based on given a, b and c.

∠A = arccos(  

b2 + c2 - a2

2bc

)

= 0.9273 rad = 53.13° = 53°7'48"

∠B = arccos(  

a2 + c2 - b2

2ac

)

= 0.6435 rad = 36.87° = 36°52'12"

∠C = arccos(  

a2 + b2 - c2

2ab

)

= 1.5708 rad = π/2 = 90°

Area =  

ab·sin(C)

2

= 54

Perimeter p = a + b + c = 36

Semiperimeter s =  

a + b +c

2

= 18

Height ha =  

2×Area

a

= 9

Height hb =  

2×Area

b

= 12

Height hc =  

2×Area

c

= 7.2

Median ma = √(a/2)2 + c2 - ac·cos(B) = 10.81665

Median mb = √(b/2)2 + a2 - ab·cos(C) = 12.81601

Median mc = √(c/2)2 + b2 - bc·cos(A) = 7.5

Inradius r =  

Area

s

= 3

Circumradius R =  

a

2sin(A)

= 7.5

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