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