SOLUTION: In an acute triangle ABC,an altitude AD is drawn. Find the area of triangle ABC if AB=15, AC=18, and BD=10.

Question 668359: In an acute triangle ABC,an altitude AD is drawn. Find the area of triangle ABC if AB=15, AC=18, and BD=10.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Since AD is the altitude to base BC we have to find AD & DC
Two right triangles are formed .
ABD & ACD
In triangle ABD
BD= 10
AB= 15
Apply Pythagoras theorem
AB is the hypotenuse

225-100=AD^2
125 = AD^2

We have AC= 18
AD=

BD+DC= BC

Area of triangle = 1/2 base * altitude
=
By using calculator you will get 134.76 sq. cm

RELATED QUESTIONS
in an acute Triangle ABC, an altitude AD is drawn. Find the area of triangle ABC if AB=... (answered by richwmiller)

In right triangle abc, altitude ab. if ad = 8 cm and bd = 18 cm, find... (answered by jerryguo41)

In an acute triangle ABC, the altitudes AD and CE are drawn. Find the length of the line... (answered by ikleyn)

in triangle abc, ab=16, ac=24, bc=16, and ad is an angle bisector. find the ratio of the... (answered by sachi)

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= (answered by greenestamps)

I badly need help with this problem, can someone please have an illustration of how it... (answered by ikleyn)

In Triangle ABC, AB=BC=6, and AC=10. If a median and an altitude are drawn from each... (answered by ikleyn,fractalier)

A triangle ABC with an obtuse angle A is inscribed in a circle. The altitude BD of the... (answered by ikleyn)

Equilateral triangle ABC has altitude AD. Median AE of triangle ABD is drawn. If the area (answered by KMST,greenestamps)