Question

Find the missing length of the triangles.

Answer 1

6) b = 12mm

7) b = 24cm

Explanation:

6) To find b, you will subtract the square root of the square of 9mm from the square of 15mm

i.e. b =
`\sqrt{(15mm)^(2) - (9mm)^(2) }`

b =
`\sqrt{225mm^(2) - 81mm^(2) }`

b =
`\sqrt{144mm^(2) }`

b = 12mm

7) To find b, you subtract the square root of the square of 10cm from the square of 26cm

i.e. b =
`\sqrt{(26cm)^(2) - (10cm)^(2) }`

b =
`\sqrt{676cm^(2) - 100cm^(2) }`

b =
`\sqrt{576cm^(2) }`

b = 24cm

Answer 2

They are both right triangles so we can use the Pythagorean

theorem to solve.

6. B = sqrt(15^2-9^2)

B = 12 mm

7. B = sqrt(26^2-10^2)

B = 24 Cm