Question

in a triangle the height is double the base and the area is 400 cm find the length of the base and height​

Answer 1

Step-by-step explanation:

Given,

Area = 400cm^2

Height is double that of base

Therefore,

Base = x

Height = 2x

Area of a triangle = 1/2 × b × h

400 = 1/2 × x × 2x

400 × 2 = 2x^2

800 = 2x^2

800/2 = x^2

400 = x^2

√400 = x

20 = x

Hence,

Base = 20 cm

Height = 20 × 2 = 40cm

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Answer 2

Answer:

20cm

Step-by-step explanation:

Area= 1/2×base×height

Base= x

Height= 2x

1/2×2x×x= 400cm^(2)

x×x= 400cm^(2)

x^(2)= 400cm^(2)

x=

$\sqrt{400 } = 20cm$

20cm= 2(20)cm

40cm is the height.

20cm is the base.