Using the triangle find x and y Classify the triangle by angles and sides
The perimeter of the triangle is 25 units

see explanation

Step-by-step explanation:

Since the base angle are congruent, both 44° then the triangle is isosceles.

Then the 2 legs are congruent, that is

4x - 7 = 2x + 1 ( subtract 2x from both sides )

2x - 7 = 1 ( add 7 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus legs are both 4x - 7 = 4(4) - 7 = 16 - 7 = 9 and base = x + 3 = 4 + 3 = 7

As a check 9 + 9 + 7 = 25 → correct

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the base angles from 180 for y, that is

y = 180 - (44 + 44) = 180 - 88 = 92

Finally

x = 4

y = 92

angles are 92°, 44° and 44°

sides are 9, 9 and 7

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.