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The measure of the sides PR and QR of triangle PQR are 4 and 8cm respectively. If the length of height PL with respect to the base QR is 5 cm then find the height QM with respect to the base PR ?
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The measure of the sides PR and QR of triangle PQR are 4 and 8cm respe...
Given:

  • PR = 4 cm

  • QR = 8 cm

  • PL = 5 cm



To find: QM, the height with respect to base PR

Solution:

We can use the formula of area of triangle to find QM.

Area of triangle PQR = 1/2 * PR * PL = 1/2 * QR * QM

Substituting the given values in the equation, we get:

1/2 * 4 * 5 = 1/2 * 8 * QM

Simplifying the equation, we get:

QM = (4 * 5) / 8 = 2.5 cm

Therefore, the height QM with respect to the base PR is 2.5 cm.

Answer: QM = 2.5 cm
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The measure of the sides PR and QR of triangle PQR are 4 and 8cm respe...
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The measure of the sides PR and QR of triangle PQR are 4 and 8cm respectively. If the length of height PL with respect to the base QR is 5 cm then find the height QM with respect to the base PR ?
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