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Mathematics

2 answers:

Nesterboy [21]2 years ago

7 0

Answer:

did you got the answer

Step-by-step explanation:

because I need it too

please help me out

I've checked out and its AAA does not prove congruence. Triangles are not congruent. They are similar

but am not sure

dolphi86 [110]2 years ago

3 0

Answer:

No, because having congruent angles does not prove that triangles are similar, triangles can have the same angles and be very different sizes, we need at least one side length to prove they are similar.

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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle

Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

$11x+16x+24x = 51x$ feet long. But we know that this is 510 feet, so we have

$51x = 510 \implies x = \cfrac{510}{51} = 10$ .

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if $s$ is half the perimeter of the triangle whose sides are $a,b,c$ , the area $A$ is given by