22. In a right-angled triangle ABC, right-angled at B, if AB=6cm and BC=8cm, find AC.
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10cm
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Given
Length of AB = 6cm
Length of BC = 8cm and
Right angled at B
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We have to find
The length of side AC
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See the attachment
According to Pythagoras theorem Addition of square of side AB and BC will equal to Square of third side AC that is
{(AB)}^{2} + {(BC)}^{2} = {(AC)}^{2}
On Putting Values
= > {8}^{2} + {6}^{2} = {(AC)}^{2} \\ = > 64 + 36 = {(AC)}^{2} \\ = > 100 = {(AC)}^{2}
On Removing Square
= > AC = \sqrt{100} \\ = > \huge \boxed{AC = 10cm}
Therefore;
Length of the side AC will be 10cm.
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