In $△ A B C$ , $∠ C = 90^{o}$ . If $B C = a, A C = b$ and $A B = c$ , find $a$ when $c = 25 c m$ and $b = 7 c m$ .

24 c m

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29 c m

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26 c m

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28 c m

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Solution

The correct option is A $24 c m$
Given $∠ C = 90^{\circ}$ , $A B = 25 c m$ , $A C = 7 c m$

$A B^{2} = A C^{2} + B C^{2}$ ....... (By Pythagoras theorem)
$25^{2} = 7^{2} + B C^{2}$
$625 = 49 + B C^{2}$
$B C^{2} = 576$
$B C = 24 c m$

$a = 24 c m$

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Similar questions

△ A B C, ∠ B = 90^{o}, A B = 18 c m

B C = 24 c m

A C

$A B C$ is a triangle, right angles at $C$ . If $A B = 25 c m$ and $A C = 7 c m$ , find $B C$ .

$A B C$ is a triangle right angled at $C$ . If $A B = 25 c m$ and $A C = 7 c m$ , find $B C$ .

B C = 7 c m, A C - A B = 1 c m

∠ B = 90^{o}

Question 2
ABC is a triangle, right angled at C. If AB = 25 cm and AC = 7 cm, find BC.

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