The base of triangle is four times its height and its area is 50m² the height of its base is
Answers
Answer:
Let, height = " X " and base = " 4X "
Area of triangle = 50 m²
➠1/2 x base x height = 50
➠X x 4X = 50 x 2
➠4X² = 100
➠X² = 100/4
➠X = √25
➠ X = 5 m
Now Base = 4X = 4 x 5 = 20 m
Therefore, height of triangle is 5m and base is 20m.
another method
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.
Explanation:
Answer:
Hope it helps you
Take height as h m and base as 4h m.
