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ankoles [38]
3 years ago
13

Math help please show work thanks

Mathematics
2 answers:
erik [133]3 years ago
6 0

Answer:

600.4 cm^2

Step-by-step explanation:

first we should find the base of samller triangle

hypotenuse = 35 cm

one side = 30 cm  whereas other has be be find

using pythagoras theorem

a^2 + b^2 = c^2

30^2 + b^2 = 35^2

900 + b^2 = 1225

b^2 = 1225 - 900

b^2 = 325

b = \sqrt{325}

b = 5\sqrt{13}

area of big triangle

base = 22 + 5\sqrt{13}

area of a triangle = base * height / 2

= 30 (22 + 5\sqrt{13} ) /2

=30*22 + 30*5\sqrt{13} / 2

=660 + 540.83 / 2

=1200.83 / 2

=600.415

=600.4 cm^2

bearhunter [10]3 years ago
3 0

9514 1404 393

Answer:

  330 cm²

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

where b is the base length and h is the height measured perpendicular to the base.

Here, the base length is 22 cm, and the height is 30 cm. The area is ...

  A = 1/2(22 cm)(30 cm) = 330 cm²

__

<em>Additional comment</em>

As is often the case with "overspecified" geometrical figures, <em>the given dimensions are inconsistent</em>. If the side lengths are taken as true, the height is closer to 33.1 cm, and the area is about 364.1 cm².

We assume the intended solution method is the one used above, as all it requires is to make use of a simple formula, and the calculation can be done mentally.

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