Question

The length of the base of the triangle is three times the height. The area of the triangle is 24in squared. Find the length of the base of the triangle.

Answer 1

Answer:

54

Explanation

The lenght of the base of a triangle three times the height

b=3h

The area of the taringleis 54 squared

1/2×b×h=Area of traingle

1/2×b×h=52

b×h=108

3h×h=108

3h^2=108

h^2=36

$h = \sqrt{36}$

h=6

b=3×6

=18

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Checking the answer

Area of traingle=1/2×b×h

54=1/2×18×6

54=54

_______________________

Answer 2

Answer:

The length of the base is 54.

Step-by-step explanation:

Given Problem:

The length of the base of the triangle is three times the height. The area of the triangle is 24in squared. Find the length of the base of the triangle.

Solution:

Given that,

=>The lenght of the base of a triangle three times the height  b = 3h

=>The area of the taringle is 24 in squared.

We know that,

Formula to find Area of traingle:

$\sf \bigstar \dfrac{1}{2}\times B \times H\bigstar$

Put the given values:

$=>\sf \dfrac{1}{2}\times b\times h=54\\\ =>b\times h=108\\\ =>3h\times h=108\\\ => 3h^2=108\\\ =>h^2=36$

$=>\sf h =\sqrt{36}\\\ =>h = 6\\\ =>b = 3\times 6\\\ => b = 18$

Verification:

Formula to find Area of traingle:

$\sf \bigstar \dfrac{1}{2}\times B \times H\bigstar$

Put the values:

$\sf =>54=\dfrac{1}{2}\times18\times6\\\\\\ =>54=54.\\\\\\ Hence,The\;answer\;is\;correct.$