Pythagorean Theorem and Its Converse

Find the missing side of the right triangle.

a= 8 b = ___ c= 17

• 15

• 18.8

• 5.9

• -15

Answer explanation

Tags

CCSS.HSG.SRT.C.8

A baseball diamond is a square. The diamond measures 80 ft on both sides.  What is the length from the third base to the first base? Round to the nearest tenth if necessary. 

• 56.6 ft.

• 69.3 ft.

• 113.14 ft.

• 58.2 ft.

Answer explanation

Tags

CCSS.HSG.SRT.C.8

A square has diagonals 30 cm long. What is the length of one of the sides?

• 42.4 cm

• 33.51 cm

• 21.2 cm

• 22 cm

Answer explanation

x^2+x^2=30^2

the sides of a square are congruent

the diagonal is the hypotenuse

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

An airplane is 45 miles from the end of the runway, AB, and 9 miles high, AC, when it approaches the airport. What is the distance from the airplane to the end of the runway?  

• 54 miles

• 44 miles

• 46 miles

• 36 miles

Answer explanation

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Do the three sides of a triangle create an acute, obtuse or right triangle?

5, 12, 13

• acute

• right

• obtuse

Answer explanation

5^2+12^2=169

13^2=169

169=169

right triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What type of triangle do the sides 5, 7, 12 create?

• right

• acute

• obtuse

Answer explanation

5^2+7^2=74

12^2=144

74<144

obtuse triangle

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What type of triangle to the sides 13, 7, and 12 create?

• right

• obtuse

• acute

Answer explanation

7^2+12^2=193

13^2=169

196>169

acute triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which type of triangle does the three sides 7, 24, and 25 create?

• right

• acute

• obtuse

Answer explanation

7^2+24^2=625

25^2=625

626=625

right triangle

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11