Question

7. The base and the height of a triangle are in the ratio 7:2. If the area of the triangle is 567 cm; find its base
and height.​

Answer 1

Answer:

Base = 63 cm

Height = 18 cm

Step-by-step explanation:

The explanation is in the attachment.

Answer 2

$\huge\pink{\mid{\fbox{\tt{❦sᴏʟᴜᴛɪᴏN❦}}\mid}}$

✿ Let the ratio be x

• base = 7x
• height = 2x
• area of triangle = 567 ᴄᴍ

${\huge{\boxed{formula \: used \: \: }}}$

${\huge{\color{red}{area = \: \frac{1}{2} \times base \: \times \: height}}}$

$⇒ 567=\frac{1}{2} \times 7x \: \times \: 2x$

$⇒567=\frac{1}{2} \times 14x$

$⇒x \: = \: 9$

ʙᴀsᴇ: 7x = 63 ᴄᴍ

ʜᴇɪɢʜᴛ: 2x = 18 ᴄᴍ

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