aahanasarju aahanasarju
  • 10-01-2022
  • Mathematics
contestada

find the area and missing angle x

find the area and missing angle x class=

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hanssz36dividedby3
hanssz36dividedby3 hanssz36dividedby3
  • 10-01-2022

This is an isosceles triangle, meaning that two sides and angles are the same.

x + x + 28 = 180

2x = 152

x = 76

76 degrees

using the Pythagorean Theorem, 4^2 + h^2 = 9^2

h = sqrt(65), area is 8*sqrt(65)/2 = 4*sqrt(65)

we can also check using heron's formula. area = sqrt(s(s-a)(s-b)(s-c)) = sqrt(13*4*4*5).

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