Question

ABCD is a rectangle with AB- 12 cm and Bc- 5cm.find AC
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Answer 1

Answer:

$ac ^{2} = ab {}^{2} + bc ^{2} \\ ac ^{2} = 12 ^{2} + 5 ^{2} \\ ac {}^{2} = 144 + 25 \\ ac {}^{2} = 169 \\ ac = \sqrt{169 } \\ ac = 13cm$

Answer 2

Answer:

13

Step-by-step explanation:

AC is the hypotenus.

So by Hypotenus Theorem,

AB^2 + BC^2 = AC^2

(12)^2 + (5)^2= 144 + 25=AC^2

144+25=169

1. AC= Square root of 169

=13

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