1.

The base of a triangle is four times itsheight and its area is 50 square meterThe length of the base is​

Answer»

Answer:

20 m

Step-by-step explanation:

GIVEN that,

Base of a TRIANGLE is four times it's height.

Also,

Area of triangle = 50 sq. m

To FIND the base.

Let the length of height be 'x' m.

Therefore, we will get,

Length of the base = 4x m

Now, we know that,

Area of triangle = ½ × base × height

Therefore, we will get,

=> ½ × 4x × x = 50

=> 2x^2 = 50

=> x^2 = 50/2

=> x^2 = 25

=> x = ±√25

=> x = ±5

But, length can't ever be negative.

Therefore, we will get,

=> x = +5

Therefore, Height if the triangle is 5 m.

Hence, base of the triangle is 20 m.


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