Question

What is the area of an isosceles right triangle that has one leg that measures 6 cm?

A 18 cm
B 36 cm
C 6√2 cm
D 72 cm​

Answer 1

Correct option is A)

Step-by-step explanation:

Let height of triangle = h

As the triangle is isosceles,

Let base = height =h

According to the question, Area of triangle = 8cm

2

⟹

2

1

​

×Base×Height=8

⟹

2

1

​

×h×h=8

⟹h

2

=16

⟹h=4cm

Base = Height = 4cm

Since the triangle is right angled,

Hypotenuse

2

=Base

2

+Height

2

⟹Hypotenuse

2

=4

2

+4

2

⟹Hypotenuse

2

=32

⟹Hypotenuse=

32

​

Hence, Options A is the correct answer.

Step-by-step explanation: