Question

Math help please show work thanks

Answer 1

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

Answer 2

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

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Additional comment

As is often the case with "overspecified" geometrical figures, the given dimensions are inconsistent. 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.