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2 years ago

If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side.

Mathematics

2 answers:

kotegsom [21]2 years ago

5 0

<h3>⋆Solution:</h3>

Let the two equal side of right angled isosceles triangle, right angled at Q be k cm.

⋆ Given: h2 = 128

So, we get

$\small\bold{PR2 = PQ2 + QR2}$

$\small\bold{h2 = k2 + k2 }$

$\small\bold\pink{ ⇒ }\small\bold{ 128 = 2k2 }$

$\small\bold\pink{ ⇒ }\small\bold{\frac{128}{2} = k2 }$

$\small\bold\pink{ ⇒ }\small\bold{ 64 = k2}$

$\small\bold\pink{ ⇒ }\small\bold{ \sqrt{64} = k}$

$\small\bold\pink{ ⇒ }\small\bold{8 = k }$

Therefore, length of each side is 8 cm.

denis-greek [22]2 years ago

3 0

Answer:

8 cm

Step-by-step explanation:

Let the length be l.

Then, by Pythagorean Theorem,

l² + l² = 128

2l² = 128

l² = 64

l = 8 cm

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