Question

In which type of triangles, the Pythagorean theorem can be applied?

• A. Obtuse triangle
• B. Right triangle
• C. Acute triangle
• D. Equilateral triangle

Answer 1

The correct option is B Right triangle

The Pythagorean theorem states that if a triangle is ${90}^{\circ }$, then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
$(\text{Hypotenuse}{)}^2=(\text{Base}{)}^2+(\text{Altitude}{)}^2$

$\Delta ABC$, we have $B{C}^2=A{B}^2+A{C}^2$​​, where ​​​​AB is the base, AC is the altitude or the height, and BC is the hypotenuse.
Hence, the correct answer is option C.