Answer:
Perimeter=23.9 Area = 24.5
It helps to plot the points and connect the dots or points.
E to F is 7 F to G is 7. It's a right triangle with hypotenuse = square root of the sum of squares of the other two sides. The other 2 sides are 7 and 7, sum of their squares is 49+49 or 2x49. Square root is 7 times the square root of 2 or (1.414)7= 9.898 Square root of 100 is10, so square root of 98 is close to 10, slightly less.You could have guessed about 9.9
Perimeter is sum of the 3 sides: 7+7+9.898 = 23.898 or 23.4 for rounding to either 1 or 2 decimal places
Area is 1/2 base times height or 1/2x7x7=49/2=24.5 The formula is A=hb/2 where in a right triangle h and b are the two sides, but not the hypotenuse.
P=2b+hypotenuse for when two sides are equal, an isosceles triangle has 2 sides equal and 2 angles equal.
A right triangle that is also an isosceles triangle has a 90 degree angle opposite the hypotenuse and 2 45 degree angles opposite the base and height, the other two sides. That's what these 3 points connected describe, a right isosceles triangle. Sides are in a ratio of 1:1:21/2 one to one to square root of 2 for the hypotenuse.
when you have one line connecting points with the same x value (two 6's) and another line connecting points with the same y value (two 5's), they are perpendicular lines, which makes it a right triangle, if there is only one other side, the hypotenuse. One side is horizontal,the other side is vertical, that's perpendicular, or a 90 degree angle. That makes it a right triangle.
