Question

The length of the hypotenuse of an isosceles right triangle whose one side is 4√2 cm is
A. 12 cm
B. 8 cm
C. 8√2 cm
D. 12√2 cm

Answer 1

Answer:

B.8cm

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Answer 2

Answer:

The length of the hypotenuse of an isosceles right triangle whose one side is

4

√

2

c

m

42cm

12 cm

8 cm

8

√

2

c

m

82cm

12

√

2

c

m

122cm

SOLUTION

Given: One side of isosceles right triangle is 4√2cm

To find: Length of the hypotenuse.

We know that in isosceles triangle two sides are equal.

In isosceles right triangle ABC, let AB and AC be the two equal sides of measure 4√2cm.

Applying Pythagoras theorem, we get

B

C

2

=

A

B

2

+

A

C

2

BC2=AB2+AC2

B

C

2

=

(

4

√

2

)

2

+

(

4

√

2

)

2

BC2=(42)2+(42)2

B

C

2

=

32

+

32

BC2=32+32

B

C

2

=

64

BC2=64

B

C

=

8

BC=8

Hence correct answer is

b

b.