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3 years ago

9. Find the length of a base of a triangle withan Area of 100 and a height of 25.

Mathematics

1 answer:

liraira [26]3 years ago

6 0

Answer:

8 (units)

Step-by-step explanation:

The formula to find the area of a triangle is A = 1/2(b*h). Since we know the area already, we can substitute that value in to calculate the answer backwards.

Plug in the numbers known:

A = 100

h = 25

Equation: 100 = 1/2(b*25)

Now solve:

100 = 1/2(b*25)

200 = b * 25

8 = b

So, the answer to your question is 8 (units).

Hope this helps!

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Distance of top of ladder from building's base: 114 inches

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle $\triangle ABC$ is formed by the ladder with the building where hypotenuse is the length of ladder.

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Also, we are given that angle made by the base of ladder with the ground is $72^\circ$ .

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$\angle BAC = 72^\circ$

Using trigonometric functions:

$cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches$

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3 years ago

9. Find the length of a base of a triangle withan Area of 100 and a height of 25.​

9. Find the length of a base of a triangle withan Area of 100 and a height of 25.