Question

The area of the Triangle shown is 30 metres square. Find the length of its longest side

Answer 1

Answer:

ty_/737hduand and is 744

Answer 2

$\huge\color{cyan}\boxed{\colorbox{black}{✿Answer✿}}$

${\orange{\bigstar}} \ {\underline{\green{\textsf{\textbf{Given :-}}}}}$

Area of triangle = 30 m²

${\blue{\bigstar}} \ {\underline{\pink{\textsf{\textbf{To Find :-}}}}}$

Hypotenuse (2x-1)

${\red{\bigstar}} \ {\underline{\purple{\textsf{\textbf{Formula Used :-}}}}}$

${\boxed{\green{\textsf{\textbf{Area of Triangle= }}} {\blue{\sf{\½ × B× H}}}}}$

where,

B = Base

H = Height

${\orange{\bigstar}} \ {\underline{\blue{\textsf{\textbf{Solution :-}}}}}$

Area = ½ × (x - 2 ) × ( x+5)

30 = ½ × x² + 5x -2x -10

30 × 2 = x² + 3x - 10

0 = x² +3x -70

0 = x² + (10-7)x -70

0 = x² +10x -7x - 70

0 = x(x + 10) - 7 ( x + 10)

0 = (x + 10) (x -7)

x = 7 or -10

$Now,$

Taking x = 7 :-

$Hypotenuse= 2x - 1$

$Hypotenuse = 2(7) - 1$

$Hypotenuse= 14 - 1$

$Hypotenuse= 13m$

$Now,$

Taking x= -10

$Hypotenuse= 2x - 1$

$Hypotenuse = 2(-10) - 1$

$Hypotenuse= -20 - 1$

$Hypotenuse= -21m$

$Since, length\: can't\:be\:in\: negative.$

$Therefore \:Hypotenuse \:is\:13m\:Base \:is\:5m\:and\:Height\:is\:12m$