Question

In AXYZ, XO I YZ. ZYXZ = 90°, YX =
6 cm, XZ = 8 cm and YZ = 10 cm. Find
XO.
​

Answer 1

Answer:

4.8 cm

Step-by-step explanation:

area of triangle = 1/2 * b*h

= 1/2*6*8 = 24 cm²

but area of triangle is also 1/2 * XO * YZ

= 1/2 * 10 * XO = 5XO

⇒ 24 = 5XO

= XO = 24/5 = 4.8 cm

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