Solveeit Logo

Question

Question: If the equations ax<sup>2</sup> + bx + c = 0 and 5x<sup>2</sup> + 12x + 13 = 0 have a common root, w...

If the equations ax2 + bx + c = 0 and 5x2 + 12x + 13 = 0 have a common root, where a, b and c are the sides of a triangle ABC, then

A

DABC is acute angled

B

DABC is right angled

C

DABC is isosceles

D

DABC is right angled isosceles

Answer

DABC is right angled

Explanation

Solution

a5\frac{a}{5}= b12\frac{b}{12}= c13\frac{c}{13}= l

Ž a = 5l, b = 12l, c = 13l