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SAT Math Practice: Triangles Practice 01

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1. The lengths of the sides of a right triangle are $x$ , $x-4$ , and $x+2$ . Which of the following could be used to find $x$ ?

$x+x-4=x+2$

$x^2 +(x-4)^2 = (x+2)^2$

$(x-4)^2 + (x+2)^2 = x^2$

$(x+2)^2 + x^2 = (x-4)^2$

2. What is the area of the isosceles triangle below?

$12$

$30$

$48$

$62$

3. In the figure below, an equilateral triangle sits on top of a square. If the square has an area of 16, what is the area of the equilateral triangle?

$\sqrt{3}$

$4 \sqrt {3}$

$\dfrac{5}{4}$

$2$

4. In the triangle below, which angle is the smallest? (image not drawn to scale)

Not enough information

5. Which of the following sets of the three numbers could be the side lengths of a triangle?
I. 4, 4, 8
II. 6, 12, 25
III. 6, 8, 12

$II$ only

$III$ only

$II$ and $III$ only

$I$ , $II$ , and $III$

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