Question

Can tell me if it's correct? If it's wrong, can you tell me the correct answer and how to solve it?

Answer 1

Answer:

C is a right triangle

Step-by-step explanation:

To determine if the triangle is right use Pythagoras' identity

A

9.4² = 88.36

6.4² + 7.1² = 91.37

88.36 ≠ 91.37 , thus not a right triangle

B

8.4² = 70.56

5.2² + 6.3² = 66.73

70.56 ≠ 66.73 , thus not a right triangle

C

9.7² = 94.09

6.5² + 7.2² = 94.09

Thus C is a right triangle

D

8.4² = 70.56

5.1² + 7.3² = 79.3

70.56 ≠ 79.3 , thus not a right triangle

Answer 2

Answer:

Answer C is the correct one

Step-by-step explanation:

Remember that the Pythagorean Theorem applies only to right triangles.  In Answer A, the legs of the triangle shown are 6.4 and 7.1; we apply the Pythagorean Theorem and check whether the length of the hypotenuse is indeed 9.4:

6.4² + 7.1² = 40.96 + 50.41 = 91.37.  

Is √91.37 equal to 9.4?  Not quite!  For now, reject Answer A.

Answer B:  5.2² + 6.3² yields 66.73.  Is this equal to 8.4²?  No, it is not.

Reject Answer B.

Answer C:  7.2² + 6.5² = 94.09.  Is this equal to 9.7²?  YES.  So Answer C is the correct one.