Question

Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle. Holly’s Work Tamar’s Work (40 + 42) squared = 58 squared. 82 squared = 3,364. 6,724 not-equals 3,364. The triangle is not a right triangle. 42 squared + 40 squared = 58 squared. 1,764 + 1,600 = 3,364. 3,364 = 3,364. The triangle is a right triangle.
Which best describes the accuracy of their solutions?
A. Holly is correct.
B. Tamar is correct.
C. Neither Holly nor Tamar is correct.
D. Both Holly and Tamar are correct.

Answer 1

Answer:

B. Tamar is correct.

Step-by-step explanation:

A triangle can be proven as a right angle triangle if  it follows Pythagoras theorem. The pythagoras theorem can be use to know if a triangle is right angled triangle. Therefore, pythagoras theorem is expressed as

c² = a² + b²

where

c = hypotenuse sides

a and b can be any of the opposite or adjacent sides.

The hypotenuse side is the longest side so the triangle with length side of 40, 42 and 58 will have the hypotenuse as 58 . The other sides will be the opposite and adjacent sides

c² = a² + b²

58² = 40 ² + 42²

3364 = 1600 + 1764

3364 = 3364

Therefore, it obeys Pythagoras principle. Tamar's work is correct . The triangle is a right angled triangle.

Answer 2

Answer:

neither Holly nor Tamar are correct.

Step-by-step explanation:

40+42=82

leg a=40

leg b=42

hypotenuse=82

the right triangle is not a right triangle