185k views
5 votes
Please help me on this problem !

Please help me on this problem !-example-1

1 Answer

5 votes

Answer:

8.485

Explanation:

This is a right isosceles triangle, thus the angles for side a and b are going to be the same, all the angles must all add up to equal 180, thus 180 - 90 = 90 then 90 ÷ 2 = 45 so we now know that angle a and b are 45°, with that said we can now find out what the vale of x is.
Calculates 2 sides based on 3 given angles and 1 side.

a = c·sin(A)/sin(C) = 8.48528 = 6
√(2)

b = c·sin(B)/sin(C) = 8.48528 = 6
√(2)

Area =
(ab·sin(C))/(2) = 36

Perimeter p = a + b + c = 28.97056

Semiperimeter s =
(a + b +c)/(2) = 14.48528

Height ha =
(2×Area)/(a) = 8.48528

Height hb =
(2×Area)/(b) = 8.48528

Height hc =
(2×Area)/(c) = 6

Median ma =
\sqrt{(a/2)^(2) + c2 - ac·cos(B)} = 9.48683

Median mb =
\sqrt{(b/2)^(2) + a2 - ab·cos(C)} = 9.48683

Median mc =
\sqrt{(c/2)^(2) + b2 - bc·cos(A)} = 6

Inradius r =
(Area)/(s) = 2.48528

Circumradius R =
(a)/(2sin(A)) = 6

User Tne
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories