In ABC - - A and - B measure 50- and 30- respectively- Find the longest side of the triangle-A- ACB- ABC- BCD- Can-t say

The correct option is B AB The sum of interior angles of a triangle is 180^∘. Therefore, the measure of ∠C = 180^∘ – (50^∘ + 30^∘) = 100^∘ Since, ∠C is the lar ...

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Standard IX

Mathematics

Parallel Lines with Transversal

In ABC , ∠ A ...

Question

In $△$ ABC, $∠$ A and $∠$ B measure $50^{\circ}$ and $30^{\circ}$ , respectively. Find the longest side of the triangle.

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Solution

The correct option is B
AB

The sum of interior angles of a triangle is $180^{\circ}$ . Therefore, the measure of $∠$ C = $180^{\circ}$ – ( $50^{\circ}$ + $30^{\circ}$ ) = $100^{\circ}$

Since, $∠$ C is the largest angle of the triangle, so, the side opposite to this angle would be the biggest side. Hence, side AB is the longest side of the triangle.

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