Consider four triangles having sides (5,12,9),(5,12, 11),(5,12,13… - Vidyadip

MCQ

Consider four triangles having sides $(5,12,9),(5,12$, $11),(5,12,13)$ and $(5,12,15)$. Among these, the triangle having maximum area has sides.

A
$(5,12,9)$
B
$(5,12,11)$
✓
$(5,12,13)$
D
$(5,12,15)$

✓

Answer

Correct option: C.

$(5,12,13)$

c
(c)

We have,

Four triangle having sides are $(5,12,9),(5,12,11),(5,12,13),(5,12,15)$ A right triangle has maximum area.

$\therefore$ Among these the triangle whose sides $(5,12,13)$ form a right angled triangle.

$\therefore$ It has maximum area.

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