Question

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

Answer 1

Answer:

7.14 to the nearest hundreth

Step-by-step explanation:

Using the Pythagorean Theorem,

${ |GA| }^{2} = { |GH| }^{2} + { |AH| }^{2}$

From the question,

GA=10

RA=7

Also, RA is parallel and equal to GH.

This implies that, RA=GH=7

By substitution we obtain,

${ |10| }^{2} = { |7| }^{2} + { |AH| }^{2}$

$\implies 100=49 + { |AH| }^{2}$

Subtracting 49 from both sides.

$\implies 100 - 49=49 - 49+ { |AH| }^{2}$

$\implies { |AH| }^{2} = 51$

Taking positive square root of both sides.

$\implies AH = \sqrt{51}$

$\implies AH =7.14$

Answer 2

Answer:

it's the square root of 51 which cannot be simplified

Step-by-step explanation:

so put it like this $\sqrt{51}$ AoPS Problem