Question

Area of a triangular field is 2.5 hectares.If one of its sides is 250 m, find its corresponding altitude

Answer 1

We know,

$\tt{Area \: \: of \: \: traingle = \frac{1}{2} \times b \times h }$

Given :

• Area of triangular field = 2.5 hectares
• One of side of field = 250 m

To find : Altitude corresponding to (given) Side

$<marquee>↕↕SOLUTION↕↕↘↙</marquee>$

$\bf = > \frac{1}{2} \times b \times h = 2.5 \: \: hectare \\ \\ \bf= > \frac{1}{2} \times 250 \times h = (2.5 \times {10}^{4}) \: \: {m}^{2} \\ \\ \bf= > \: \: \: \: \: \: \: \: \: \: \: h = \frac{ \frac{25}{10} \times {10}^{4} }{ \frac{1}{2} \times 250} \\ \\ \bf = > \: \: \: \: \: \: \: \: \: \: \: \: h = \frac{25 \times {10}^{3} }{125} \\ \\ \bf = > \: \: \: \: \: \: \: \: \: \: \: \: h = \frac{ {10}^{3} }{5} \: \: = \red{200 }\: m$