Triangle ABC is similar to triangle KLM, with area(ABC) = 128 cm^2 and area(KLM) = 50 cm^2. The altitude drawn from A to BC measures 16 cm. Find the altitude drawn from K to LM (in cm).

Question

Accepted Answer

10. 128/50 = 64/25, so the altitudes are in the ratio √64/25 = 8/5. The required altitude = 16 × 5/8 = 10 cm. Scaling by the area ratio itself gives 16 × 25/64 = 6.25 cm, scaling the wrong way gives 16 × 8/5 = 25.6 cm, and 8 is only a number from the ratio 8 : 5, not a length.

Triangle ABC is similar to triangle KLM, with area(ABC) = $128 cm^{2}$ and area(KLM) = $50 cm^{2}$ . The altitude drawn from A to BC measures 16 cm.
Find the altitude drawn from K to LM (in cm).

Step-by-Step Solution

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More Class 10 Areas of Similar Triangles practice

Triangle ABC is similar to triangle KLM, with area(ABC) = 128cm2 and area(KLM) = 50cm2. The altitude drawn from A to BC measures 16 cm.Find the altitude drawn from K to LM (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

Triangle ABC is similar to triangle KLM, with area(ABC) = $128 cm^{2}$ and area(KLM) = $50 cm^{2}$ . The altitude drawn from A to BC measures 16 cm.
Find the altitude drawn from K to LM (in cm).