Question

What is the value of h in the diagram below? If necessary, round your answer to the nearest tenth of a unit

PLS HELP ASAP

Answer 1

the answer is 4.5 because that’s what i got

Answer 2

Value of h is 4.5 unit.

Explanation:

Given:

MO = 12 and PO = 2

∠N and ∠p are right angle

To find: Value of h.

In ΔMNO and ΔONP

∠MNO = ∠OPN = 90°

∠MON = ∠NOP ( common angle)

⇒ ΔMNO and ΔONP are similar triangle by AA Similiarity criteria.

Corresponding part of similar triangles are ,

∠OMN = ∠ONP

`(OM)/(ON)=(MN)/(PN)=(ON)/(OP)`

Consider,

`(OM)/(ON)=(ON)/(OP)`

`OM* OP=ON^2` .................(1)

Now in ΔONP,

using Pythagoras Theorem

ON² = NP² + OP²

ON² = h² + 2²

ON² = h² + 4 .............(2)

From (1) and (2), we have

12 × 2 = h² + 4

h² = 24 - 4

h² = 20

`h=√(20)`

`h=2√(5)`

h = 2 × 2.236 ( Value of √5 is 2.236 )

h = 4.472

h = 4.5 unit

Therefore, Value of h is 4.5 unit.