If the hypotenuse of an isosceles right-angled triangle is 10 cm, then the other two sides (in cm) are __________.
Answer & explanation
Correct answer: option 4
As 2 sides is equal in isosceles triangle
Therefore, AB = AC
Using pythagoras theorem,
= \( {BC }^{2 } \) = \( {AB }^{2 } \) + \( {AC }^{2 } \)
= \( {BC }^{2 } \) = 2\( {AB }^{2 } \)
= \( {BC }^{2 } \)/2 = \( {AB }^{2 } \)
= \( {AB }^{2 } \) = 50
= AB = 5\(\sqrt {2 }\)
Therefore, AB and AC are 5\(\sqrt {2 }\).