The perimeter of an isosceles triangle is 25 cm and its base is 7 cm. The teacher asked the students to find its area. Sapna answered √15 cm². Is she correct? Justify. Which values are depicted here?
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Answer:
Yes, area is √15cm^2
Step-by-step explanation:
Yes, 2b + a = 15
⇒ 25 + 7 = 15 ⇒ b = 14
∴ Area of isosceles triangle = 7/4 root under(√4b2 - a2) = 7/4 root under(√4 x 42 - 72)
= 7/4 root under(√64 - 49) = 7/4.√15 cm2
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