## A flat piece of cardboard is placed on a mirror as shown below. What is the area of the figure formed by combining (0) 0 the

Question

A flat piece of cardboard is placed on a mirror as shown below. What is the area of the figure formed by combining
(0) 0
the triangle and its image?
5
7
01
3
(a) 3(2+ 10)
(b) 6(2+V10)
(c) 4(2+v10)
(d) None of these

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3 weeks 2021-11-07T09:30:40+00:00 2 Answers 0 views 0

## Answers ( )

none of these

Step-by-step explanation:

As per the laws of reflection we have angle of incidence equal to angle of reflection. Figure A and B are the ones with the bulb on the path of incidence and eye in the path of reflection.

(b) 6(2+√10) is the answer

Step-by-step explanation:

first of all calculate the base of the triangle by Pythagoras theorem

(3)² + x² = (5)²

x = 4

and (3)² + y² = (7)²

y = 2√10

so the base is 4+2√10

now formula of area of triangle is 1/2(base x altitude)

1/2[3 x (4+2√10)]

= 3(2+√10) will be the area of triangle and same will be the area of image

so final answer is 6(2+√10)