Question

D) 9:49 2)The ratio of areas of two triangles with equal heights is 7:9. If the base of smaller triangle is 3.5cm then what is the corresponding base of bigger triangle​

Answer 1

Answer:

4.5 cm

Step-by-step explanation:

refer the image attached

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Answer 2

Answer:

$\mathfrak{4.5}$

Step-by-step explanation:

$\bigstar$ $\orange{\huge{\mathfrak{Given}}}$:

The ratio of areas of two triangles with equal heights is 7:9

The base of smaller triangle is 3.5 cm

$\bigstar\orange{\huge{\mathfrak{To\: Find:}}}$

What is the corresponding base of bigger triangle​?

$\bigstar \orange{\huge{\mathfrak{Solution:}}}$

$\Longrightarrow \frac{\frac{1}{2} \times Height \: of \:smaller \:triangle \times Base \: of\:smaller\:triangle}{\frac{1}{2}\times Height \: of \:bigger \:triangle \times Base \: of\:bigger\:triangle \:} = \frac{7}{9}$

$\Longrightarrow \frac{3.5}{Base \: \:of \: \: bigger \: \: triangle } =\frac{7}{9}$

$\Longrightarrow Base \: of \:bigger \:triangle \: = \frac{9}{7} \times 3.5$

                                             $= 9 \times 0.5$

                                             $= 4.5$

$\red{\bold{ The\: corresponding\: base\: of\: bigger\: triangle = 4.5 }}$

$\pink{\huge{\boxed{\mathfrak{Hope \:its\:help\:You}}}}$