Introduction Unit: Pythagorean Thm and Special Rt Triangles

Find the value of y.

• 9

• $18\sqrt{2}$

• $9\sqrt{2}$

• $\frac{9\sqrt{2}}{2}$

Find the value of a & b.

• a = $7\sqrt{3}$ b= $3.5\sqrt{3}$
  

• a = $7\sqrt{2}$ b = 7

• a = 14 b = 7

• a = $14\sqrt{3}$ b= $7\sqrt{3}$

Use the Pythagorean Theorem to solve for x. Express your answer in simplified radical form.

• $5\sqrt{13}$

• $11\sqrt{3}$

• $\sqrt{33}$

• $\sqrt{65}$

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplified radical form.

• $95\sqrt{3}$

• 95

• $95\sqrt{2}$

• $\frac{95\sqrt{2}}{2}$

An equilateral triangle has height 26 cm. What is the length of each side of the triangle, to the nearest centimeter?

• 26, 13, 23
• 26, 26, 38
• 26, 15, 30
• 26, 42, 38

Tags

CCSS.8.G.B.8

Find the value of y.

• 7

• $7\sqrt{3}$

• $14\sqrt{3}$

• $\frac{14\sqrt{3}}{3}$

A square tablecloth has a line of embroidered flowers along the diagonal. The tablecloth is 48 in. on each side. How long is the embroidery line? Round to the nearest inch.

• 48 inches

• 68 inches

• 34 inches

• 135 inches

What is the length of side c?

• 7

• $\frac{7}{\sqrt{2}}$

• $7\sqrt{2}$

• 14

Solve for x.

• 
  

  $10\sqrt{3}$

• 15

• $5\sqrt{3}$

• $15\sqrt{2}$

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

Tags

CCSS.8.G.B.8