Question

find out the perpendicular length of a triangle where base is 6.5cm and the area is 26cm ^2.

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Answer 1

maybe it is correct sorry but i am not sure

Answer 2

☆ Given :

• Base of triangle = 6.5 cm
• Area of triangle = 26 cm²

☆ To find :

• The perpendicular length or we can say that the height of the triangle.

☆ Solution :

As we know that,

★ Area of triangle∆ = base × height /2 ★

Let's assume the Height or perpendicular length of the triangle as h.

A/Q

⇒ 26 = 6.5 × h /2

⇒ 26 × 2 = 6.5h

⇒ 52 = 6.5 h

⇒ 52/6.5 = h

⇒ h = 8

Therefore,

• The perpendicular height of the triangle is 8 cm.

☆ Verification :

Area of ∆ = b×h/2

Putting the value,

→ 26 = 6.5×8/2

→ 26 = 6.5 × 4

→ 26 = 26

Hence, both sides are equal.

Thus, solution is checked !!