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Rainbow [258]
2 years ago
6

The side lengths of different triangles are given. Which triangle is a right triangle? A. 6,7,13 B. 21−−√,99−−√,11 C. 10,60,61 D

. 35−−√,14−−√,7
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
8 0

Answer:

D

Step-by-step explanation:

By definition for a right triangle with sides a, b, c, where c is the hypotenuse,

the following must be true:

a² + b² = c²

By using this formula on all the choices, we find that only D satisfies this formula

i.e.

for

a = √35 --------> a² = 35

b = √14 --------->b² = 14

c = 7 ------> c² = 49

a² + b² = 35 + 14 = 49 which is equal to the value of c² above

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