Question

In the figure below, GRAH is a rectangle, RA=7, and GA=10. Determine AH.

Answer 1

Answer:

AH = $\sqrt{51}$

Step-by-step explanation:

The opposite sides of a rectangle are congruent , so

GH = RA = 7

Using Pythagoras' identity in right Δ GHA

AH² + GH² = GA²

AH² + 7² = 10²

AH² + 49 = 100 ( subtract 49 from both sides )

AH² = 51 ( take the square root of both sides )

AH = $\sqrt{51}$ ≈ 7.14 ( to 2 dec. places )