Question

If the base of a right angled triangle is 15 cm and its hypotenuse is 25 cm then find its area.​

Answer 1

Question:-

If the base of a right angled triangle is 15 cm and its hypotenuse is 25 cm then find its area.

Answer:-

$150.$

Solution:-

$base \: of \: a \: triangle \: (b) = 15$

$hypotenuse \: of \: a \: traiangle = 25$

$let \: h \: be \: an \:height \: of \: an \: traingle$

$by \: pythogoras \: theorem$

$we \: get$

$=> {b}^{2} + {h}^{2} => (hypotenuse) ^{2}$

$=> {15}^{2} + {h}^{2} => {25}^{2}$

$=> 225 \: + \: {h}^{2} = > 625$

${h}^{2} = > 625 - 225$

${h}^{2} = > 400$

$h = 20cm$

$area \: of \: a \: triangle \: > \frac{1}{2} \times b \times h$

$area \: of \: a \: traing \:> \frac{1}{2} \times 15\times 20$

$area \: of \: an \: traingle \: = 15 \times 10$

$area \: of \: an \: traingle \: is \: 150$