All 303 families

GB-33-02-001 · Pythagoras shorter side

9 cmx cm15 cm
Diagram not accurately drawn

Find the length of x. Give your answer to 1 decimal place.

Pythagoras (Finding a Shorter Side) Booklet p. 34
Method
1) Label triangle (H opposite right angle, A, B)
2) Sub into H² = A² + B²
3) Rearrange (A² = H² − B²) and square root
Worked Example (GB-33-02-001)
Booklet p. 34: Label Hypotenuse H\mathbf{H} (opposite right angle) and use H2=A2+B2\mathbf{H^2 = A^2 + B^2}
1) x2=152−92x^2=15^2-9^2
2) 12.0 cm
12.0 cm