Question

The base of a Triangle is thrice its height. If the area of Triangle is 486cm², find the base and height of the triangle​

Answer 1

Answer:

Let for the triangle height be x is and base be 3x.

Given, area of the triangle= 486 cm²

Since we know area of a triangle

=½×base×height

Therefore according to the question,

=>½×base×height=Area

=>½×3x×x=486

=>3x²=486×2

=> x²=972/3

=>x=√324

=>x=18cm

Therefore ,

height=x=18cm

base=3x=3×18cm=54cm

Answer 2

Step-by-step explanation:

• height (h) = h
• base (b) = 3h
• area (a) = 486 cm²

$\boxed{\sf Area_{(triangle)}=\dfrac{1}{2}×b×h}$

$\longmapsto \sf \dfrac{1}{2}×3h×h=486$

$\longmapsto \sf 3h^2=972$

$\longmapsto \sf h^2=324$

$\longmapsto \sf h=18 \: cm$

$\longmapsto \sf b = 3h=3×18=54 \: cm$