In right triangle DEF

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

In right triangle DEF,

\angle E = 90^{\circ}

and altitude

EG

is drawn to the hypotenuse DF. Which of the following relations is always true? (a)

EF^{2} = DG \cdot DF

(b)

DE^{2} = DG \cdot DF

(c)

DG \cdot FG = DE^{2}

(d)

DF^{2} = DG \cdot FG