contestada

Which of the following is a Pythagorean triplet?
i. 12, 35, 37
ii.
8, 12, 14
iii. 5, 9, 11
iv.
8, 10, 12
4
The exterior angle of a triangle is equal to the sum of the two interior_
angles.
5
Which of the following will form a triangle?
i.
70°, 70.5°, 40.5°
ii.
70°, 71°, 49°
iii. 70°, 70°, 40°
iv.
70°, 70.5°, 38.5°
6
Which of the following will form a triangle?
i. 7, 8, 15.5
ii.
iii. 7, 8, 14
iv.
7, 8, 15 None of these

Respuesta :

rvkacademic

Answer:

( i ) YES

(ii) NO

( iii) NO

(iv) NO

Step-by-step explanation:

If a triangle is a Pythagorean triplet the square of the longest side must be equal to the sum of the squares on the other two sides

Let's examine each of the given triplets and see if this property is satisfied

(i) 12, 35, 37

37² = 1369

12² + 35² = 144 + 1225 = 1369 = 37²

So this triplet is indeed a right triangle

( ii )  8, 12, 14
14² = 196
8² + 12² = 64 + 144 = 208 ≠ 14²

So this triplet is NOT a Pythagorean one

( iii ) 5, 9, 11
11² = 121

5² + 9² = 25 + 81 = 106 ≠ 11²
NOT a Pythagorean triplet

( iv ) 8, 10, 12

12² = 144

8² + 10² = 64 + 100 = 164 ≠ 12²

So this is NOT a Pythagorean triplet