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quester [9]
3 years ago
12

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

Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0

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

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