Question

Find height of a triangle if its base = 22 cm and area is 170.5cm2 square

Answer 1

Answer:

Height = 15.5 cm

Step-by-step explanation:

area of triangle=170.5$cm^{2}$

$\frac{1}{2}$×Base×Height=170.5$cm^{2}$

22 cm × Height = 341 $cm^{2}$

Height = $\frac{341 cm^{2} }{22 cm}$

Height = 15.5 cm

Answer 2

Given :-

• Area of triangle = 170.5 cm²
• Base of triangle = 22 cm

To Find :-

• Height of triangle = ?

Solution :-

● Area of triangle = $\bf{\dfrac{1}{2}}$ × Base × Height

◈ Putting the values ◈

Area of triangle = $\dfrac{1}{2}$ × Base × Height

⇒ 170.5 cm² = $\dfrac{1}{2}$ × 22 cm × Height

⇒ 170.5 cm² = 11 cm × Height

⇒ $\sf \dfrac{170.5 \; cm^2}{11 \; cm}$ = Height

⇒ 15.5 cm = Height

⇒ Height = 15.5 cm

∴ The height of the triangle is 15.5 cm.