Answer:
The measure of Angle G is 62.5°.
Step-by-step explanation:
Given:
Δ EFG is an Isosceles Triangle.
EG = EF
m∠ E = 55°
To Find:
m∠ G = ?
Solution:
Δ EFG is an Isosceles Triangle. ........Given
EG = EF ..............Given
∠ G = ∠ F = x (say) ..................Isosceles triangle property
Now in Δ EFG we have
∠ E + ∠ G + ∠ F = 180° .......... Angle sum property of triangle
On substituting the values we get
The measure of Angle G is 62.5°.
Answer:
an isosceles right triangle
Step-by-step explanation:
The square of the length of a side can be found from the distance formula:
d^2 = (x2-x1)^2 +(y2-y1)^2
The square of the length of WX is ...
WX^2 = (-3-(-10))^2 +(-1-4)^2 = 49+25 = 74
The square of the length of XY is ...
XY^2 = (-5-(-3))^2 +(11-(-1))^2 = 4 +144 = 148
The square of the length of YW is ...
YW^2 = (-10-(-5))^2 +(4 -11)^2 = 25 +49 = 74
The sum of the squares of the short sides is equal to the square of the long side, so this is a right triangle. The squares of the short sides are equal, so this is an isosceles right triangle.
