Question

The area of a triangular billboard is 3125 sq.m. if its base is 2.5m long, what is its height.?

Answer 1

Hey...!,!

Area = 3125 sq m
Base = 2.5 m
So,
1/2 x Base x Height = Area
1/2 x 2.5 x Height = 3125
1.25 x Height = 3125
Height = 3125/1.25
Height = 2500
So, Height = 2500 m

Hope it helps...!,,!

Answer 2

Hey there !!
---------------

Here we have


Base , b = 2.5 m

$Area \: of \: triangle \: = 3125 \\ \\ = \frac{1}{2} \: \times b \times \: h = \: 3125 \\ \\ = \frac{25}{10} \times h \: = 3125 \times 2 \\ \\ = h \: = \frac{3125 \times 2 \times 10}{25 } \\ \\ \: = \: h \: = \frac{3125 \times 4}{5} \\ \\ = h \: = 625 \times 4 \\ \\ = h \: =2500$

Verification -

$\frac{1}{2} \times 2.5 \times 2500 = 3125 \\ \\ = 3125 = 3125$

Here LHS = RHS

Hence The height of the triangular billboard is 2500 m

Hope this would help you !!