If two sides of a triangle are 8 cm and 13 cm, then the length of the third side is between a cm and b cm. Find the values of a and b such that a is less than b.

The lengths of two sides of a triangle are 13cm and 16cm. The third side should lie between 'a' cm and 'b' cm for the triangle to be formed. Then the value of a + b = ___ cms.

Q. Three cuboids of dimensions 5 cm × 6 cm × 7cm, 4cm × 7cm × 8 cm and 2 cm × 3 cm × 13 cm are melted and a cube is made. Find the side of cube.

The lengths of the parallel sides of a trapezium are 19 cm and 13 cm and its area is 128 $c m^{2}$ . The distance between the parallel sides is
(a) 9 cm (b) 7 cm
(c) 8 cm (d) 12.5 cm

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If two sides of a triangle are 8 cm and 13 cm, then the length of the third side is between a cm and b cm. Find the values of a and b such that a is less than b.

The correct option is D a=5 cm and b=21 cmSum of two sides > third side8+13>3rd side 3rd side <218+3rd side >13⇒3rd side >5So, 3rd side is between 5 and 21So, a=5 cm and b=21 cmHence, option C.

If two sides of a triangle are $8 c m$ and $13 c m$ , then the length of the third side is between $a c m$ and $b c m$ . Find the values of $a$ and $b$ such that $a$ is less than $b$ .

The correct option is D $a = 5 c m$ and $b = 21 c m$
Sum of two sides $>$ third side
$8 + 13 > 3^{r d}$ side
$3^{r d}$ side $< 21$
$8 + 3^{r d}$ side $> 13$
$\Rightarrow 3^{r d}$ side $> 5$
So, $3^{r d}$ side is between $5$ and $21$
So, $a = 5$ cm and $b = 21$ cm
Hence, option C.