dxvlce
contestada

Which of the following statements justifies why the triangle shown below is
not a right triangle?
A. BC + AC > AB
B. AC< AB
C. BC < AB
D. 5^2+10^2 ≠ 12^2

Which of the following statements justifies why the triangle shown below is not a right triangle A BC AC gt AB B AClt AB C BC lt AB D 52102 122 class=

Respuesta :

D

because it does not abide by the pythagorean theorem

a^2 + b^2 = c^2

in this case:
5^2+10^2 ≠ 12^2
25+100≠144
125≠144

Therefore D shows that the triangle isn’t a right angle triangle.

The statement that justifies why the triangle shown below is not a right-angle triangle is [tex](5)^{2} + (10)^{2}[/tex] ≠ [tex](12)^{2}[/tex]

What is a right-angle triangle?

A right-angle triangle is a triangle that has a right-angle.

Here, the sides of the triangle are 5, 10, and 12.

As per Pythagorean theorem for a right-angle triangle,

(Base)² + (Height)² = (Hypotenuse)²

Now, for the given triangle:

[tex](5)^{2} + (10)^{2}[/tex]

[tex]= 25 + 100\\= 125\\= 11.18[/tex]

≠ [tex](12)^{2}[/tex]

Therefore, the given triangle is not a right-angle triangle.

Learn more about a right-angle triangle here: https://brainly.com/question/3770177

#SPJ3

Otras preguntas