Question

One side of a triangle is 7 cm long and its corresponding altitude is 4 cm long.
What is the length of the corresponding altitude of another side of the triangle
with length 8 cm?​

Answer 1

Step-by-step explanation:

For the first triangle, given that Base = 15 cm and altitude = 7 cm We know that area of a triangle = ½ (Base x Altitude) = ½ (15 x 7) = 52.5 cm2 It is also given that the area of the first triangle and the second triangle are equal. Area of the second triangle = 52.5 c m2 One side of the second triangle = 10.5 cm Therefore, The other side of the second triangle = (2 x Area)/One side of a triangle = (2x 52.5)/10.5 =10 cm Hence, the other side of the second triangle will be 10 cm.Read more on Sarthaks.com - https://www.sarthaks.com/690495/the-area-of-a-triangle-whose-base-and-the-corresponding-altitude-are-15-cm-and-7-cm?show=690498#a690498