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state true or false A DeltaABC can be c...

state true or false
A `DeltaABC` can be constructed in which `angleB = 105^(@), angleC = 90^(@) and AB + BC + CA = 10 cm`.

Text Solution

Verified by Experts

Here, `angleB = 105^(@), angleC = 90^(@)`
and `AB + BC + CA = 10cm`
we know that , sum of angles of a triangle is `180^(@)`.
`:. angleA + angleB + angleC = 180^(@)`
Here, `angleB + angleC = 105^(@) + 90^(@)`
= `195^(@) gt 180^(@)`, which is not true.
Thes, `DeltaABC` with given conditions cannot be constructed.
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