What is the length of HG? mm
E
Type in your response.
8 mm
12 mm
H
A = 68 mm2
DONE
G
F

Step-by-step explanation:

Given

Find the length of HG

First, it should be noted that the displayed figure is a trapezium

The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;

In this case;

Substitute the values of Area, HE and EF

Divide both sides by 4

Subtract 12 from both sides

Hence, the length of HG is 5mm

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'.

the answer is c

hope this !