Right Triangle?

Question

How would I do this problem (Not just answer please)

"Determine whether a triangle with sides having the given measures is a right triangle:

7,10,14"

Answer 1

Use the pythagorean theorem.

if 7^2 + 10^2 = 14^2 you would have a right triangle. Since it does not, you do not have a right triangle

Answer 2

In a Right Triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, a Right Triangle with sides of 2 inches and 3 inches will have a hypotenuse of the square root of 13. No other type of triangle has this property.

(2^2) + (3^2) = 4 + 9 = 13
sqrt(13)^2 = 13

So, if the square of the longest side of a triangle is equal to the sum of the squares of the two shorter sides of the triangle, then you know you have a Right Triangle.

Conversely, if the square of the longest side of a triangle is NOT equal to the sum of the squares of the two shorter sides, then you know you do NOT have a Right Triangle.

Answer 3

Dear,

According to the pythagoreann theorem, A right triangle must satisfy the following condition;

square of the largest side of the triangle= sum of the square of other two sides.

Now check your given sides,

(14)^2= (7)^2+(10)^
196=49+100
196=149, the condition is not satisfied, so the given triangle is not a right triangle.

good luck.

Answer 4

Use a^2+b^2=c^2

Answer 5

choose the largest side (14)^2 = 196
take the other two sides ( 7)^2 + (10)^2 = 49 + 100 = 149
( 14)^2 not equal ( 7)^2 + ( 10 )^2
then the triangle is not right

Answer 6

use pythagorean therom.

7^2+10^2= 149
14^2=196
not a right triangle

Answer 7

Of course it's not. If it was,
7^2 + 10^2 = 14^2
149 = 196

I don't the last statement is true :)

Answer 8

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Answer 9

trig!
a = 7
b = 10
c = 14

arcsin(b/c) + arcsin(a/c) = 90

if they dont equal 90 then you dont have a right triangle

Answer 10

if (7)**2+(10)**2=(14)**2 , then u can say yes....now check it...............