Respuesta :
Answer:
The given triangle is NOT A RIGHT ANGLED TRIANGLE.
Step-by-step explanation:
Here, the three given sides of the triangle are:
8 units, 10 units and 12 units
Now, for any triangle to be a right angle:
by the PYTHAGORAS THEOREM:
[tex](Base)^2 + (Perpendicular)^2 = (Hypotenuse)^2[/tex]
The longest of all sides id the hypotenuse.
⇒ H = 12 units
Let us assume, B = 8 units, P = 10 units
Now, here checking the condition:
[tex](8)^2 + (10)^2 = 64 + 100 = 164 \neq (12)^2 = 144\\\implies (B)^2 + (P)^2 \neq (H)^2[/tex]
Hence, the given triangle is NOT A RIGHT ANGLED TRIANGLE.
