Question

The base and height of a triangle are in the ratìo 3:5. If the area of triangle is 67.5cm², find its height and base .​

Answer 1

Answer:

Let the measurement of the base and height be x

∴ Base(b) = 3x

And Height(h) =5x

$Area = 67.5cm^{2}\\\\Area \ of \ triangle = \frac{1}{2} \times b \times h\\\\\therefore 67.5 = \frac{1}{2} \times 3x \times 5x\\\\\therefore 67.5 \times 2= 15x^2\\\\\therefore 15x^2 = 135\\\\\therefore x^2 = \frac{135}{15}\\\\\therefore x^2 = 9\\\\\therefore (x)^2 = (3)^2\\\\\therefore x = 3\\\\\\Base = 3x = 3(3) = 9cm\\Height = 5x = 5(3) = 15 cm$

Step-by-step explanation: