The height of a triangle is twice the length of its base. The area of the triangle is 50 m2. Find the height and base to the nearest tenth of a meter.

Step-by-step explanation:

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Base = 7.1m

Height = 14.2m

Step-by-step explanation:

Let's take the base as 'x'.

And the height is twice the base so it is 2 × x which is 2x.

Then, the formula for finding area of a triangle is:

Area of a triangle = × base × height

From this equation we will be able to find the value of 'x'.

The area is 50 . Now substitute all the terms into the equation.

 50 =   × x ×  2x

 50 =   ×

 50 =

The '2' in the numerator and denominator can be cut off.

  = 50

 x =

 x = 7.07 = 7.1m ( to the nearest tenth )

So when the base is 7.07 the height, as mentioned, is twice of base, 2x. We have the value of x so just substitute the value of x in 2x.

 2 × 7.1 = 14.2m

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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