Exploring Perimeter and Area of Right Triangles

A right triangle has vertices at (1, 2), (1, 5), and (4, 2). What is the perimeter of the triangle?

• 5 + 4√2

• 8 + √2

• 6 + 3√2

• 7 + 2√2

Tags

CCSS.HSG.GPE.B.7

Calculate the area of the right triangle formed by the points (0, 0), (0, 6), and (8, 0).

• 30

• 18

• 12

• 24

Tags

CCSS.HSG.GPE.B.7

A triangular garden is shaped like a right triangle with vertices at (2, 3), (2, 7), and (6, 3). What is the area of the garden?

• 10

• 6

• 12

• 8

Tags

CCSS.HSG.GPE.B.7

Find the perimeter of a right triangle with vertices at (3, 4), (3, 8), and (7, 4).

• 12

• 4 + 4 + 4√2

• 10 + 2√2

• 8 + 4√2

Tags

CCSS.HSG.GPE.B.7

A right triangle has its right angle at (0, 0) and extends to (0, 10) and (6, 0). What is the area of this triangle?

• 15

• 20

• 40

• 30

Tags

CCSS.HSG.GPE.B.7

Determine the perimeter of a right triangle with vertices at (1, 1), (1, 4), and (5, 1).

• 14

• 8

• 10

• 12

Tags

CCSS.HSG.GPE.B.7

A right triangle is formed by the points (2, 2), (2, 5), and (5, 2). What is the area of this triangle?

• 6

• 4.5

• 3.5

• 5

Tags

CCSS.HSG.GPE.B.7

Calculate the perimeter of a right triangle with vertices at (0, 0), (0, 12), and (9, 0).

• 30

• 24

• 42

• 36

Tags

CCSS.HSG.GPE.B.7

A right triangle has vertices at (4, 1), (4, 5), and (8, 1). What is the area of this triangle?

• 6

• 12

• 10

• 8

Tags

CCSS.HSG.GPE.B.7

Find the perimeter of a right triangle with vertices at (1, 1), (1, 6), and (5, 1).

• 9 + √41

• 7 + √43

• 8 + √42

• 10 + √40

Tags

CCSS.HSG.GPE.B.7