Applications of Pythagorean Theorem

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
 $5,\ 9,\ 13$  

• Not a triangle

• Right triangle

• Acute triangle

• Obtuse triangle

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
 $\sqrt{7},\ 4\ ,10$  

• Not a triangle

• Right triangle

• Acute triangle

• Obtuse triangle

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
 $\sqrt{12},\ \sqrt{6},\ \sqrt{20}$  

• Not a triangle

• Right triangle

• Acute triangle

• Obtuse triangle

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
 $9,\ 9\sqrt{2},\ 9$  

• Not a triangle

• Right triangle

• Acute triangle

• Obtuse triangle

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.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Ashley is building a garden and she wants it to be 40' long. She knows that the diagonal measure of the plot is 50'. What is the width?

• 30 feet

• 50 feet

• 40 feet

• 20 feet

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Marcus leans a 12-ft ladder against a wall to clean a window. If the base of the ladder is 3 ft away from the wall, how high up does the ladder reach? Round to the nearest tenth.

• 12.4 feet

• 10 feet

• 11.6 feet

• 10.6 feet

A sailing ship sails 46 km North and then 74 km East. How far is the ship from its starting point to the nearest km?

• 67 km

• 58 km

• 85 km

• 87 km