# Applying the Pythagorean Theorem (Grade 10)

Print Test
(Only the test content will print)

Name: | Date: |
---|

## Applying the Pythagorean Theorem

1.

If [math]BC = 6 \ "m"[/math], and quadrilateral ABCD is a square, what is the diameter of the circle? Round the answer to two decimal places.

- 4.25 m
- 6.93 m
- 8.49 m
- Not enough information.

2.

In the figure below, AB = 10 cm, AE = 12 cm, DE = 7 cm, and CD = 5 cm. Also, [math]ang A, ang E[/math] and [math]ang D[/math] are right angles. What is the perimeter of the figure? Round the answer to one decimal place.

- 41.6 cm
- 45.2 cm
- 49.6 cm
- 53.6 cm

3.

The circle shown has a circumference of 47.1 in. What is the area of square ABCD which is inscribed in the circle? Round the answer to one decimal place.

- Not enough information.
- 56.3 squared inches
- 112.4 squared inches
- 449.4 squared inches

4.

If AC = 8 m and AB = 12 m, what is the length of [math]bar{CD}[/math], rounded to one decimal place?

- 2.7 m
- 5.3 m
- 6.0 m
- 8.0 m

5.

[math]Delta ABC[/math] is an isosceles triangle where [math]AB = BC[/math], and [math]BC = 2 AC[/math]. If the length of the altitude from vertex B is 4 cm long, what is the perimeter of the triangle? Round the answer to the nearest tenth of a centimeter.

- 2.1 cm
- 5.2 cm
- 9.3 cm
- 10.3 cm

6.

In the figure below, let the intersection of the altitude from vertex B and the extension of [math]bar{AC}[/math] be point [math]P[/math] (not labeled in figure). If [math]BP = 5 \ "in."[/math], [math]BC = 14 \ "in"[/math], and [math]AC = 11 \ "in"[/math], what is the length of [math]bar{AB}[/math], rounded to the nearest tenth of an inch?

- 4.5 in
- 5.4 in
- 6.9 in
- 12.1 in

7.

In the circle shown, with center [math]O[/math], [math]AC = 7 \ "in."[/math] and [math]CB = 4.5 \ "in."[/math] (where [math]bar{CB}[/math] is not drawn). What is the length of the radius of the circle, rounded to one decimal place? Hint: an angle inscribed in a semicircle is a right angle.

- 2.7 in.
- 4.2 in.
- 5.4 in.
- 8.3 in.

8.

In the circle pictured, [math]O[/math] is the center of the circle and [math]bar{AD}[/math] is tangent to the circle. If [math]AD = 5 \ "cm"[/math] and [math]DO = 6.4 \ "cm"[/math], what is the length of the diameter of the circle, rounded to one decimal place? Hint: A line tangent to a circle is perpendicular to the radius of the circle at that point.

- 2.4 cm
- 4.0 cm
- 8.0 cm
- 16.2 cm

9.

What is the length of the diagonal of square ABCD, if the area of the inscribed circle is [math]30 \ "cm"^2 ?[/math]

- 4.4 cm
- 8.7 cm
- 12.4 cm
- 13.5 cm

10.

In [math]Delta ABC[/math] the altitude from vertex [math]B[/math] intersects the opposite side at point [math]D[/math] (not shown). Point [math]D[/math] divides [math]bar{AC}[/math] into two line segments in the ratio [math]5:3[/math]. If [math]BD = 14.7 \ "in."[/math] and [math]AB + BC = 38.2 \ "in."[/math], what is the length of [math]bar{AC}[/math], rounded to one decimal place?

- 10.4 in.
- 12.0 in.
- 21.0 in.
- 23.9 in.

You need to be a HelpTeaching.com member to access free printables.

Already a member? Log in for access. | Go Back To Previous Page

Already a member? Log in for access. | Go Back To Previous Page