Karen's Scribe Post

2. Use the relationship to determine the length of C in each triangle, to the nearest whole number. Show your work.
a)

c² + d² = e²
c² + 24² = 26²
c² + 576 =676
c² + 576 - 576 = 676 - 576
c² = 100
c = √100
c = 10m

b)
b² + a² = c²
b² + 15² = 39²
b² + 225 = 1521
b² + 225 - 225 = 1521 - 225
b² = 1296
b = √1296
b = 36cm

4. What is the length of each hypotenuse, to the nearest centimeter? Show you work.
a)
c² = a² + b²
c² = 8² + 9²
c² = 64 + 81
c = √145
c = 12cm (nearest centimeter)

b)
c² = a² + b²
c² = 6² + 10²
c² = 36 + 100
c = √136
c = 12cm


6. Find the height of a triangle with a base of 4 cm and a hypotenuse of 11 cm. Round to the nearest tenth of a centimeter. Show your work.
a² + b² = c²
a² + 4² = 11²
a² + 16 = 121
a² + 16 -16 = 121 - 16
a² = 105
a² = √105
a = 10.2cm

8. Ellie and Lucas are going the skateboard park to try out the new ramp. Is the new ramp a right triangle? Explain your thinking.
a² + b² = c²
2² + 3² = 5²
4 + 9 = 13
13 ≠ 15 (5²)

No, it is not a right triangle because it doesn't equal the hypotenuse/5².