Question

Find the area of a right-angled triangle whose base is 15 cm and altitude XYZ is a right-angled triangle with ZX = 90° , XY = 9 cm, and YZ = 12 cm. OX is perpendicular to YZ Find OX. Х Y 0 Z​

Answer 1

Answer:

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Step-by-step explanation:

In a right triangle, by Pythagoras theorem:

(Hypotenuse)

2

=(Perpendicular)

2

+(Base)

2

AC

2

=AB

2

+BC

2

2 +15 =17

=64+225=289

Taking square roots on both sides, we get

∴HypotenuseAC=

289

=17 cm.