ABC IS a right angled triangle at B and D is a point on BC. If AD=18cm , BD=9cm and CD = 4 cm, find AC

Mathematics

1 answer:

leva [86]3 years ago

4 0

$AB = \sqrt{ AD^{2} - BD^{2} } = \sqrt{243} = 9 \sqrt{3} 
$
$AC = \sqrt{ AB^{2} + BC^{2} } = \sqrt{412} = 2 \sqrt{103}$

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Find the length of a leg of an isosceles right triangle whose hypotenuse measures 8√2

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The length the hypotenuse of an isosceles right triangle, or a 45-45-90 triangle, is always radical two times as long as any leg of the triangle. With this, we can set up an equation where x represents the length of a leg.

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Step 1:-

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The number of favorable cases

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