ACT Geometry Review

What is the relationship between the sides in the Pythagorean Theorem shown?

• a + b = c

• a² + b² = c²

• a² – b² = c²

• a – b = c

In this 45-45-90 triangle, When you are given the length of one leg how do you find the length of the other leg?

• Multiply that leg by 2

• Use the same length for the second leg

• Multiply that leg by √2

• Divide that leg by √2

Solve for the missing side length!

Answer explanation

13^2 + x^2 = 15^2

169 + x^2 = 225

x^2 = 56

x = sq rt of 56

You can plug this into calculator. Then plug in answer choices to calculator and match decimals.

Or you can simplify the radical!

Which method would you use to solve for x?

• Sine

• Cosine

• Tangent

• Pythagorean Theorem

Answer explanation

cos? = adj/hyp

The dimensions of the right triangle shown above are given in feet. What is the length of the hypotenuse of the triangle, in feet?

• 7

• 11

• 65

Answer explanation

7^2 + 4^2 = x^2

solve for the value of y

• 13

• 5

• 23

• 10

Answer explanation

12^2 + y^2 = 13^2

What is the correct ratio?

• sin 40 = w/28
• cos 40 = w/28
• tan 40 = w/28
• sin 40 = 28/w

What is the measure of side x?

• 20

• 5.9

• 33

• 42

• 67

• 51

• 118

• 62